Table of contents 目次

4×10102+7

c101

name 名前Sinkiti Sibata
date 日付September 10, 2007 04:24:34 UTC 2007 年 9 月 10 日 (月) 13 時 24 分 34 秒 (日本時間)
composite number 合成数
33057851239669421487603305785123966942148760330578512396694214876033057851239669421487603305785123967<101>
prime factors 素因数
2585280752085942635036731470745668477195362783<46>
12786948269736886765489577885313149519498166924858577249<56>
factorization results 素因数分解の結果
Number: 40007_102
N=33057851239669421487603305785123966942148760330578512396694214876033057851239669421487603305785123967
  ( 101 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=2585280752085942635036731470745668477195362783 (pp46)
 r2=12786948269736886765489577885313149519498166924858577249 (pp56)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 0.61 hours.
Scaled time: 0.42 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_102
n: 33057851239669421487603305785123966942148760330578512396694214876033057851239669421487603305785123967
m: 200000000000000000000
c5: 25
c0: 14
skew: 0.89
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 290001)
Primes: RFBsize:37706, AFBsize:41617, largePrimes:1013476 encountered
Relations: rels:951414, finalFF:91482
Max relations in full relation-set: 0
Initial matrix: 79387 x 91482 with sparse part having weight 2362982.
Pruned matrix : 65477 x 65937 with weight 1513258.
Total sieving time: 0.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.61 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10105+7

c106

name 名前Jo Yeong Uk
date 日付September 10, 2007 10:14:11 UTC 2007 年 9 月 10 日 (月) 19 時 14 分 11 秒 (日本時間)
composite number 合成数
4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<106>
prime factors 素因数
1043329248228030997017608973380352553<37>
3833880826012994445256424591562881885990352920890139603449554354425519<70>
factorization results 素因数分解の結果
Number: 40007_105
N=4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
  ( 106 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=1043329248228030997017608973380352553 (pp37)
 r2=3833880826012994445256424591562881885990352920890139603449554354425519 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.37 hours.
Scaled time: 0.79 units (timescale=2.144).
Factorization parameters were as follows:
n: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
m: 1000000000000000000000
c5: 4
c0: 7
skew: 1.12
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 240001)
Primes: RFBsize:30757, AFBsize:30779, largePrimes:1084096 encountered
Relations: rels:1048724, finalFF:128939
Max relations in full relation-set: 28
Initial matrix: 61600 x 128939 with sparse part having weight 5037821.
Pruned matrix : 40561 x 40933 with weight 1175515.
Total sieving time: 0.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10106+7

c85

name 名前Sinkiti Sibata
date 日付September 10, 2007 09:35:19 UTC 2007 年 9 月 10 日 (月) 18 時 35 分 19 秒 (日本時間)
composite number 合成数
3166527762487519882929791626294636973417702535337351459863375266451834768004729661731<85>
prime factors 素因数
64819024777953578883539736640240237<35>
48851826656369687093848975611401730998510732736463<50>
factorization results 素因数分解の結果
Mon Sep 10 12:52:04 2007  Msieve v. 1.26
Mon Sep 10 12:52:04 2007  random seeds: d51dc9a3 8d7922ad
Mon Sep 10 12:52:04 2007  factoring 3166527762487519882929791626294636973417702535337351459863375266451834768004729661731 (85 digits)
Mon Sep 10 12:52:05 2007  commencing quadratic sieve (85-digit input)
Mon Sep 10 12:52:06 2007  using multiplier of 1
Mon Sep 10 12:52:06 2007  using 64kb Pentium 2 sieve core
Mon Sep 10 12:52:06 2007  sieve interval: 6 blocks of size 65536
Mon Sep 10 12:52:06 2007  processing polynomials in batches of 17
Mon Sep 10 12:52:06 2007  using a sieve bound of 1426129 (54070 primes)
Mon Sep 10 12:52:06 2007  using large prime bound of 116942578 (26 bits)
Mon Sep 10 12:52:06 2007  using trial factoring cutoff of 27 bits
Mon Sep 10 12:52:06 2007  polynomial 'A' values have 11 factors
Mon Sep 10 16:46:56 2007  
Mon Sep 10 16:46:56 2007  
Mon Sep 10 16:46:56 2007  Msieve v. 1.26
Mon Sep 10 16:46:57 2007  random seeds: 2317f812 12a05399
Mon Sep 10 16:46:57 2007  factoring 3166527762487519882929791626294636973417702535337351459863375266451834768004729661731 (85 digits)
Mon Sep 10 16:46:57 2007  commencing quadratic sieve (85-digit input)
Mon Sep 10 16:46:58 2007  using multiplier of 1
Mon Sep 10 16:46:58 2007  using 64kb Pentium 2 sieve core
Mon Sep 10 16:46:58 2007  sieve interval: 6 blocks of size 65536
Mon Sep 10 16:46:58 2007  processing polynomials in batches of 17
Mon Sep 10 16:46:58 2007  using a sieve bound of 1426129 (54070 primes)
Mon Sep 10 16:46:58 2007  using large prime bound of 116942578 (26 bits)
Mon Sep 10 16:46:58 2007  using trial factoring cutoff of 27 bits
Mon Sep 10 16:46:58 2007  polynomial 'A' values have 11 factors
Mon Sep 10 16:47:01 2007  restarting with 21856 full and 243609 partial relations
Mon Sep 10 17:26:58 2007  54200 relations (26099 full + 28101 combined from 290676 partial), need 54166
Mon Sep 10 17:27:01 2007  begin with 316775 relations
Mon Sep 10 17:27:01 2007  reduce to 78679 relations in 2 passes
Mon Sep 10 17:27:01 2007  attempting to read 78679 relations
Mon Sep 10 17:27:05 2007  recovered 78679 relations
Mon Sep 10 17:27:05 2007  recovered 75104 polynomials
Mon Sep 10 17:27:06 2007  attempting to build 54200 cycles
Mon Sep 10 17:27:06 2007  found 54200 cycles in 1 passes
Mon Sep 10 17:27:06 2007  distribution of cycle lengths:
Mon Sep 10 17:27:06 2007     length 1 : 26099
Mon Sep 10 17:27:06 2007     length 2 : 28101
Mon Sep 10 17:27:06 2007  largest cycle: 2 relations
Mon Sep 10 17:27:06 2007  matrix is 54070 x 54200 with weight 1761587 (avg 32.50/col)
Mon Sep 10 17:27:08 2007  filtering completed in 3 passes
Mon Sep 10 17:27:08 2007  matrix is 42387 x 42451 with weight 1482165 (avg 34.91/col)
Mon Sep 10 17:27:10 2007  saving the first 48 matrix rows for later
Mon Sep 10 17:27:10 2007  matrix is 42339 x 42451 with weight 1055687 (avg 24.87/col)
Mon Sep 10 17:27:10 2007  matrix includes 64 packed rows
Mon Sep 10 17:27:10 2007  commencing Lanczos iteration
Mon Sep 10 17:29:38 2007  lanczos halted after 670 iterations
Mon Sep 10 17:29:39 2007  recovered 17 nontrivial dependencies
Mon Sep 10 17:29:40 2007  prp35 factor: 64819024777953578883539736640240237
Mon Sep 10 17:29:40 2007  prp50 factor: 48851826656369687093848975611401730998510732736463
Mon Sep 10 17:29:40 2007  elapsed time 00:42:43
execution environment 実行環境
Pentiu3 750MZh,  Windows Me)

4×10117+7

c100

name 名前Jo Yeong Uk
date 日付September 10, 2007 11:31:31 UTC 2007 年 9 月 10 日 (月) 20 時 31 分 31 秒 (日本時間)
composite number 合成数
1186052018880990557463388064411320977047917277971455374837039249136844921468320398869036762045023319<100>
prime factors 素因数
7571231308415109663829195119389645559083504639<46>
156652461213639440290493125833595279391925366872158121<54>
factorization results 素因数分解の結果
Number: 40007_117
N=1186052018880990557463388064411320977047917277971455374837039249136844921468320398869036762045023319
  ( 100 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=7571231308415109663829195119389645559083504639 (pp46)
 r2=156652461213639440290493125833595279391925366872158121 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.85 hours.
Scaled time: 1.81 units (timescale=2.142).
Factorization parameters were as follows:
n: 1186052018880990557463388064411320977047917277971455374837039249136844921468320398869036762045023319
m: 200000000000000000000000
c5: 25
c0: 14
skew: 0.89
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:49126, largePrimes:2081921 encountered
Relations: rels:2247563, finalFF:299949
Max relations in full relation-set: 28
Initial matrix: 98288 x 299949 with sparse part having weight 25856697.
Pruned matrix : 64697 x 65252 with weight 4307300.
Total sieving time: 0.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.85 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10120+7

c94

name 名前Sinkiti Sibata
date 日付September 10, 2007 06:48:12 UTC 2007 年 9 月 10 日 (月) 15 時 48 分 12 秒 (日本時間)
composite number 合成数
5682696363334512849721537896612724909471809965504303562702985349408048099863665858911364855031<94>
prime factors 素因数
16163441146585422712119803589901420539893<41>
351577137058775393064141868807182275859318715677825467<54>
factorization results 素因数分解の結果
Number: 40007_120
N=5682696363334512849721537896612724909471809965504303562702985349408048099863665858911364855031
  ( 94 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=16163441146585422712119803589901420539893 (pp41)
 r2=351577137058775393064141868807182275859318715677825467 (pp54)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.14 hours.
Scaled time: 1.46 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_120
n: 5682696363334512849721537896612724909471809965504303562702985349408048099863665858911364855031
m: 1000000000000000000000000
c5: 4
c0: 7
skew: 1.12
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63998, largePrimes:2233386 encountered
Relations: rels:2497504, finalFF:145478
Max relations in full relation-set: 0
Initial matrix: 113160 x 145478 with sparse part having weight 5118153.
Pruned matrix : 93207 x 93836 with weight 3055007.
Total sieving time: 1.96 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 3.4GHz, Windows XP and Cygwin)

4×10123+7

c100

name 名前Sinkiti Sibata
date 日付September 10, 2007 09:46:12 UTC 2007 年 9 月 10 日 (月) 18 時 46 分 12 秒 (日本時間)
composite number 合成数
7082436808750471977331869139572712189502812999808595720773130522724928764839469912722939255229931527<100>
prime factors 素因数
893003465557677469001745507020861686789619767<45>
7931029477391238937468273562091619341494204808802031281<55>
factorization results 素因数分解の結果
Number: 40007_123
N=7082436808750471977331869139572712189502812999808595720773130522724928764839469912722939255229931527
  ( 100 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=893003465557677469001745507020861686789619767 (pp45)
 r2=7931029477391238937468273562091619341494204808802031281 (pp55)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.59 hours.
Scaled time: 1.77 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_123
n: 7082436808750471977331869139572712189502812999808595720773130522724928764839469912722939255229931527
m: 2000000000000000000000000
c5: 125
c0: 7
skew: 0.56
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63758, largePrimes:2177651 encountered
Relations: rels:2321280, finalFF:137515
Max relations in full relation-set: 0
Initial matrix: 112921 x 137515 with sparse part having weight 6377289.
Pruned matrix : 100907 x 101535 with weight 4197773.
Total sieving time: 2.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10124+7

c97

name 名前Sinkiti Sibata
date 日付September 10, 2007 12:33:46 UTC 2007 年 9 月 10 日 (月) 21 時 33 分 46 秒 (日本時間)
composite number 合成数
1229854275520714967260471838947950713893193162791736456300050444358471249630604163174163844579709<97>
prime factors 素因数
67816150798627989304720548529530399180885482189<47>
18135123580998002481347196781299085919725495181681<50>
factorization results 素因数分解の結果
Number: 40007_124
N=1229854275520714967260471838947950713893193162791736456300050444358471249630604163174163844579709
  ( 97 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=67816150798627989304720548529530399180885482189 (pp47)
 r2=18135123580998002481347196781299085919725495181681 (pp50)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.58 hours.
Scaled time: 1.76 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_124
n: 1229854275520714967260471838947950713893193162791736456300050444358471249630604163174163844579709
m: 10000000000000000000000000
c5: 2
c0: 35
skew: 1.77
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63938, largePrimes:2187471 encountered
Relations: rels:2353021, finalFF:136777
Max relations in full relation-set: 0
Initial matrix: 113101 x 136777 with sparse part having weight 5875625.
Pruned matrix : 100625 x 101254 with weight 3925534.
Total sieving time: 2.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.58 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10127+7

c90

name 名前Jo Yeong Uk
date 日付September 10, 2007 14:21:27 UTC 2007 年 9 月 10 日 (月) 23 時 21 分 27 秒 (日本時間)
composite number 合成数
137208469002073731963742143203405569527855447772540937594569482584938095837884419815979777<90>
prime factors 素因数
377275926509092007527238672431385514979<39>
363682014571282571218438761205122109617347029045963<51>
factorization results 素因数分解の結果
Mon Sep 10 22:32:35 2007  
Mon Sep 10 22:32:35 2007  
Mon Sep 10 22:32:35 2007  Msieve v. 1.25
Mon Sep 10 22:32:35 2007  random seeds: 1cdda497 27465ce9
Mon Sep 10 22:32:35 2007  factoring 137208469002073731963742143203405569527855447772540937594569482584938095837884419815979777 (90 digits)
Mon Sep 10 22:32:35 2007  commencing quadratic sieve (89-digit input)
Mon Sep 10 22:32:35 2007  using multiplier of 1
Mon Sep 10 22:32:35 2007  using 32kb Intel Core sieve core
Mon Sep 10 22:32:35 2007  sieve interval: 35 blocks of size 32768
Mon Sep 10 22:32:35 2007  processing polynomials in batches of 6
Mon Sep 10 22:32:35 2007  using a sieve bound of 1565341 (59667 primes)
Mon Sep 10 22:32:35 2007  using large prime bound of 125227280 (26 bits)
Mon Sep 10 22:32:35 2007  using double large prime bound of 376580721415840 (42-49 bits)
Mon Sep 10 22:32:35 2007  using trial factoring cutoff of 49 bits
Mon Sep 10 22:32:35 2007  polynomial 'A' values have 11 factors
Mon Sep 10 23:20:35 2007  59861 relations (16019 full + 43842 combined from 631769 partial), need 59763
Mon Sep 10 23:20:36 2007  begin with 647788 relations
Mon Sep 10 23:20:36 2007  reduce to 145237 relations in 10 passes
Mon Sep 10 23:20:36 2007  attempting to read 145237 relations
Mon Sep 10 23:20:37 2007  recovered 145237 relations
Mon Sep 10 23:20:37 2007  recovered 120863 polynomials
Mon Sep 10 23:20:37 2007  attempting to build 59861 cycles
Mon Sep 10 23:20:37 2007  found 59861 cycles in 6 passes
Mon Sep 10 23:20:38 2007  distribution of cycle lengths:
Mon Sep 10 23:20:38 2007     length 1 : 16019
Mon Sep 10 23:20:38 2007     length 2 : 11430
Mon Sep 10 23:20:38 2007     length 3 : 10659
Mon Sep 10 23:20:38 2007     length 4 : 7965
Mon Sep 10 23:20:38 2007     length 5 : 5631
Mon Sep 10 23:20:38 2007     length 6 : 3573
Mon Sep 10 23:20:38 2007     length 7 : 2094
Mon Sep 10 23:20:38 2007     length 9+: 2490
Mon Sep 10 23:20:38 2007  largest cycle: 18 relations
Mon Sep 10 23:20:38 2007  matrix is 59667 x 59861 with weight 3591214 (avg 59.99/col)
Mon Sep 10 23:20:38 2007  filtering completed in 3 passes
Mon Sep 10 23:20:38 2007  matrix is 55719 x 55783 with weight 3372987 (avg 60.47/col)
Mon Sep 10 23:20:39 2007  saving the first 48 matrix rows for later
Mon Sep 10 23:20:39 2007  matrix is 55671 x 55783 with weight 2801744 (avg 50.23/col)
Mon Sep 10 23:20:39 2007  matrix includes 64 packed rows
Mon Sep 10 23:20:39 2007  using block size 22313 for processor cache size 4096 kB
Mon Sep 10 23:20:39 2007  commencing Lanczos iteration
Mon Sep 10 23:20:58 2007  lanczos halted after 882 iterations
Mon Sep 10 23:20:58 2007  recovered 14 nontrivial dependencies
Mon Sep 10 23:20:58 2007  prp39 factor: 377275926509092007527238672431385514979
Mon Sep 10 23:20:58 2007  prp51 factor: 363682014571282571218438761205122109617347029045963
Mon Sep 10 23:20:58 2007  elapsed time 00:48:23
execution environment 実行環境
Core 2 Quad Q6600

4×10130+7

c109

name 名前Jo Yeong Uk
date 日付September 10, 2007 13:27:32 UTC 2007 年 9 月 10 日 (月) 22 時 27 分 32 秒 (日本時間)
composite number 合成数
2517350121988647718566832619749419527856760925822505300539585253388798073057602635805421866091633938194938017<109>
prime factors 素因数
408504680191109431162215803581538597<36>
6162353197057531640657105318413959662898339394094871838459411864184198861<73>
factorization results 素因数分解の結果
Number: 40007_130
N=2517350121988647718566832619749419527856760925822505300539585253388798073057602635805421866091633938194938017
  ( 109 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=408504680191109431162215803581538597 (pp36)
 r2=6162353197057531640657105318413959662898339394094871838459411864184198861 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.80 hours.
Scaled time: 3.85 units (timescale=2.143).
Factorization parameters were as follows:
n: 2517350121988647718566832619749419527856760925822505300539585253388798073057602635805421866091633938194938017
m: 100000000000000000000000000
c5: 4
c0: 7
skew: 1.12
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:78491, largePrimes:1505533 encountered
Relations: rels:1534239, finalFF:204166
Max relations in full relation-set: 28
Initial matrix: 157053 x 204166 with sparse part having weight 9603809.
Pruned matrix : 132553 x 133402 with weight 4860764.
Total sieving time: 1.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10132+7

c104

name 名前Jo Yeong Uk
date 日付September 10, 2007 16:59:00 UTC 2007 年 9 月 11 日 (火) 1 時 59 分 0 秒 (日本時間)
composite number 合成数
16431694225566222948609513601281972899576566543250776087667169652945304700613585557818414923365161820437<104>
prime factors 素因数
105178237608324529255932346205701327687403<42>
156227130243012416024084470042988923198135605773570637061345279<63>
factorization results 素因数分解の結果
Number: 40007_132
N=16431694225566222948609513601281972899576566543250776087667169652945304700613585557818414923365161820437
  ( 104 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=105178237608324529255932346205701327687403 (pp42)
 r2=156227130243012416024084470042988923198135605773570637061345279 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.47 hours.
Scaled time: 5.23 units (timescale=2.118).
Factorization parameters were as follows:
n: 16431694225566222948609513601281972899576566543250776087667169652945304700613585557818414923365161820437
m: 200000000000000000000000000
c5: 25
c0: 14
skew: 0.89
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 1000001)
Primes: RFBsize:78498, AFBsize:78371, largePrimes:1569406 encountered
Relations: rels:1611834, finalFF:216226
Max relations in full relation-set: 28
Initial matrix: 156933 x 216226 with sparse part having weight 10703211.
Pruned matrix : 133627 x 134475 with weight 5265424.
Total sieving time: 2.38 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.47 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10133+7

c109

name 名前Jo Yeong Uk
date 日付September 10, 2007 23:25:52 UTC 2007 年 9 月 11 日 (火) 8 時 25 分 52 秒 (日本時間)
composite number 合成数
4807235156427862477801484912313373050636771228697485220905861647175509857379509740170422840569881678066473217<109>
prime factors 素因数
26266897688914103600761963556264623<35>
183014957204357914443774593629154442488846573682381077826399652046581216079<75>
factorization results 素因数分解の結果
Number: 40007_133
N=4807235156427862477801484912313373050636771228697485220905861647175509857379509740170422840569881678066473217
  ( 109 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=26266897688914103600761963556264623 (pp35)
 r2=183014957204357914443774593629154442488846573682381077826399652046581216079 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.48 hours.
Scaled time: 5.32 units (timescale=2.144).
Factorization parameters were as follows:
n: 4807235156427862477801484912313373050636771228697485220905861647175509857379509740170422840569881678066473217
m: 1000000000000000000000000000
c5: 1
c0: 175
skew: 2.81
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1100001)
Primes: RFBsize:107126, AFBsize:107108, largePrimes:2183290 encountered
Relations: rels:2279537, finalFF:274333
Max relations in full relation-set: 28
Initial matrix: 214298 x 274333 with sparse part having weight 17720307.
Pruned matrix : 182909 x 184044 with weight 9107441.
Total sieving time: 2.27 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10136+7

c82

name 名前Sinkiti Sibata
date 日付September 10, 2007 06:01:51 UTC 2007 年 9 月 10 日 (月) 15 時 1 分 51 秒 (日本時間)
composite number 合成数
2297104313605487751994058909995621445226670899397396722147182347374454856888894351<82>
prime factors 素因数
13843131922546324190310604226546490969103<41>
165938194222088675576956806070665609433217<42>
factorization results 素因数分解の結果
Mon Sep 10 12:56:10 2007  
Mon Sep 10 12:56:10 2007  
Mon Sep 10 12:56:10 2007  Msieve v. 1.26
Mon Sep 10 12:56:10 2007  random seeds: ae13a040 ea7e6816
Mon Sep 10 12:56:10 2007  factoring 2297104313605487751994058909995621445226670899397396722147182347374454856888894351 (82 digits)
Mon Sep 10 12:56:11 2007  commencing quadratic sieve (82-digit input)
Mon Sep 10 12:56:11 2007  using multiplier of 1
Mon Sep 10 12:56:11 2007  using 64kb Pentium 2 sieve core
Mon Sep 10 12:56:11 2007  sieve interval: 6 blocks of size 65536
Mon Sep 10 12:56:11 2007  processing polynomials in batches of 17
Mon Sep 10 12:56:11 2007  using a sieve bound of 1338397 (51471 primes)
Mon Sep 10 12:56:11 2007  using large prime bound of 125809318 (26 bits)
Mon Sep 10 12:56:11 2007  using trial factoring cutoff of 27 bits
Mon Sep 10 12:56:11 2007  polynomial 'A' values have 10 factors
Mon Sep 10 14:47:10 2007  51608 relations (26063 full + 25545 combined from 276098 partial), need 51567
Mon Sep 10 14:47:12 2007  begin with 302161 relations
Mon Sep 10 14:47:12 2007  reduce to 73959 relations in 2 passes
Mon Sep 10 14:47:12 2007  attempting to read 73959 relations
Mon Sep 10 14:47:15 2007  recovered 73959 relations
Mon Sep 10 14:47:15 2007  recovered 65324 polynomials
Mon Sep 10 14:47:15 2007  attempting to build 51608 cycles
Mon Sep 10 14:47:15 2007  found 51608 cycles in 1 passes
Mon Sep 10 14:47:15 2007  distribution of cycle lengths:
Mon Sep 10 14:47:15 2007     length 1 : 26063
Mon Sep 10 14:47:15 2007     length 2 : 25545
Mon Sep 10 14:47:15 2007  largest cycle: 2 relations
Mon Sep 10 14:47:16 2007  matrix is 51471 x 51608 with weight 1602662 (avg 31.05/col)
Mon Sep 10 14:47:19 2007  filtering completed in 4 passes
Mon Sep 10 14:47:19 2007  matrix is 44265 x 44329 with weight 1349414 (avg 30.44/col)
Mon Sep 10 14:47:21 2007  saving the first 48 matrix rows for later
Mon Sep 10 14:47:21 2007  matrix is 44217 x 44329 with weight 1066574 (avg 24.06/col)
Mon Sep 10 14:47:21 2007  matrix includes 64 packed rows
Mon Sep 10 14:47:21 2007  commencing Lanczos iteration
Mon Sep 10 14:50:30 2007  lanczos halted after 700 iterations
Mon Sep 10 14:50:31 2007  recovered 5 nontrivial dependencies
Mon Sep 10 14:50:32 2007  prp41 factor: 13843131922546324190310604226546490969103
Mon Sep 10 14:50:32 2007  prp42 factor: 165938194222088675576956806070665609433217
Mon Sep 10 14:50:32 2007  elapsed time 01:54:22
execution environment 実行環境
Celeron  750MHz, Windows 2000)

4×10139+7

c123

name 名前Sinkiti Sibata
date 日付September 11, 2007 06:42:35 UTC 2007 年 9 月 11 日 (火) 15 時 42 分 35 秒 (日本時間)
composite number 合成数
350053643661005279748843704503251430769753790262193682777340431379729126555588061839938125103056209629639011990529239160361<123>
prime factors 素因数
31986300717986806917050274578788541806841309083879<50>
10943861459545403346659982155635581621711169730625226161155822473142568559<74>
factorization results 素因数分解の結果
Number: 40007_139
N=350053643661005279748843704503251430769753790262193682777340431379729126555588061839938125103056209629639011990529239160361
  ( 123 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=31986300717986806917050274578788541806841309083879 (pp50)
 r2=10943861459545403346659982155635581621711169730625226161155822473142568559 (pp74)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 8.92 hours.
Scaled time: 6.09 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_139
n: 350053643661005279748843704503251430769753790262193682777340431379729126555588061839938125103056209629639011990529239160361
m: 10000000000000000000000000000
c5: 2
c0: 35
skew: 1.77
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1300001)
Primes: RFBsize:78498, AFBsize:63938, largePrimes:1494045 encountered
Relations: rels:1474401, finalFF:159762
Max relations in full relation-set: 0
Initial matrix: 142501 x 159762 with sparse part having weight 13322206.
Pruned matrix : 137478 x 138254 with weight 9904526.
Total sieving time: 8.38 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.92 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10140+7

c93

name 名前Sinkiti Sibata
date 日付September 10, 2007 21:16:44 UTC 2007 年 9 月 11 日 (火) 6 時 16 分 44 秒 (日本時間)
composite number 合成数
282372936349849676344049794975421655211442692035412953083742345621409096950554935978685573531<93>
prime factors 素因数
246523695335114998234346215684034044871<39>
1145419047714673326600757462103639786711752383269528461<55>
factorization results 素因数分解の結果
Number: 40007_140
N=282372936349849676344049794975421655211442692035412953083742345621409096950554935978685573531
  ( 93 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=246523695335114998234346215684034044871 (pp39)
 r2=1145419047714673326600757462103639786711752383269528461 (pp55)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 8.01 hours.
Scaled time: 5.47 units (timescale=0.683).
Factorization parameters were as follows:
n: 282372936349849676344049794975421655211442692035412953083742345621409096950554935978685573531
m: 10000000000000000000000000000
c5: 4
c0: 7
skew: 1.12
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1350001)
Primes: RFBsize:100021, AFBsize:100128, largePrimes:2522999 encountered
Relations: rels:2447285, finalFF:225591
Max relations in full relation-set: 0
Initial matrix: 200213 x 225591 with sparse part having weight 13214244.
Pruned matrix : 190912 x 191977 with weight 9721443.
Total sieving time: 7.15 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 8.01 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10142+7

c116

name 名前Jo Yeong Uk
date 日付September 10, 2007 10:13:23 UTC 2007 年 9 月 10 日 (月) 19 時 13 分 23 秒 (日本時間)
composite number 合成数
77138895582555057683960164286975855480099655777007390049040546888128219076834911237456782247612999222062178689400653<116>
prime factors 素因数
2229599509718725418315923215401<31>
34597646459065868838026205405922156262284783213861761567480768713986485734911023224453<86>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 77138895582555057683960164286975855480099655777007390049040546888128219076834911237456782247612999222062178689400653 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2936475969
Step 1 took 6915ms
Step 2 took 3810ms
********** Factor found in step 2: 2229599509718725418315923215401
Found probable prime factor of 31 digits: 2229599509718725418315923215401
Probable prime cofactor 34597646459065868838026205405922156262284783213861761567480768713986485734911023224453 has 86 digits
execution environment 実行環境
Core 2 Quad Q6600

4×10143+7

c108

name 名前Sinkiti Sibata
date 日付September 11, 2007 22:01:22 UTC 2007 年 9 月 12 日 (水) 7 時 1 分 22 秒 (日本時間)
composite number 合成数
999178041337223852488855483773425882364042283838812522867286562602400394959670087123679083063501766312002003<108>
prime factors 素因数
1000749795659211467211625369787<31>
998429423289612292605918747746093298336322693193270765403387192272005415284169<78>
factorization results 素因数分解の結果
Number: 40007_143
N=999178041337223852488855483773425882364042283838812522867286562602400394959670087123679083063501766312002003
  ( 108 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1000749795659211467211625369787 (pp31)
 r2=998429423289612292605918747746093298336322693193270765403387192272005415284169 (pp78)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 12.96 hours.
Scaled time: 8.85 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_143
n: 999178041337223852488855483773425882364042283838812522867286562602400394959670087123679083063501766312002003
m: 20000000000000000000000000000
c5: 125
c0: 7
skew: 0.56
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1850001)
Primes: RFBsize:100021, AFBsize:99858, largePrimes:2670610 encountered
Relations: rels:2631232, finalFF:227950
Max relations in full relation-set: 0
Initial matrix: 199944 x 227950 with sparse part having weight 17712373.
Pruned matrix : 190831 x 191894 with weight 13565004.
Total sieving time: 11.85 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 12.96 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10144+7

c117

name 名前Sinkiti Sibata
date 日付September 12, 2007 11:40:52 UTC 2007 年 9 月 12 日 (水) 20 時 40 分 52 秒 (日本時間)
composite number 合成数
143156537369984557247257807124511565476769024965337464560184628079260630402615596072010099193813141404565420500495397<117>
prime factors 素因数
48338648874827112317609973195674549<35>
2961533694098241796253566194687162650499134657877589080508209090117714412844440753<82>
factorization results 素因数分解の結果
Number: 40007_144
N=143156537369984557247257807124511565476769024965337464560184628079260630402615596072010099193813141404565420500495397
  ( 117 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=48338648874827112317609973195674549 (pp35)
 r2=2961533694098241796253566194687162650499134657877589080508209090117714412844440753 (pp82)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 13.12 hours.
Scaled time: 8.96 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_144
n: 143156537369984557247257807124511565476769024965337464560184628079260630402615596072010099193813141404565420500495397
m: 100000000000000000000000000000
c5: 2
c0: 35
skew: 1.77
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1850001)
Primes: RFBsize:100021, AFBsize:99918, largePrimes:2650465 encountered
Relations: rels:2603751, finalFF:227166
Max relations in full relation-set: 0
Initial matrix: 200004 x 227166 with sparse part having weight 17999391.
Pruned matrix : 191344 x 192408 with weight 13832480.
Total sieving time: 12.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 13.12 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10148+7

c143

name 名前Robert Backstrom
date 日付September 12, 2007 07:03:05 UTC 2007 年 9 月 12 日 (水) 16 時 3 分 5 秒 (日本時間)
composite number 合成数
64610856885336727557015043022754328523593462027391772776538505647796527489496697577577448226512742068613499469383337829172124938013959175630077<143>
prime factors 素因数
245114463615524143538086032433891970756683404064249115073005692163<66>
263594632206945158216136499659187321494630614449650644664224883579346714068479<78>
factorization results 素因数分解の結果
Number: n
N=64610856885336727557015043022754328523593462027391772776538505647796527489496697577577448226512742068613499469383337829172124938013959175630077
  ( 143 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=245114463615524143538086032433891970756683404064249115073005692163 (pp66)
 r2=263594632206945158216136499659187321494630614449650644664224883579346714068479 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.66 hours.
Scaled time: 8.43 units (timescale=0.723).
Factorization parameters were as follows:
name: KA_4_0_147_7
n: 64610856885336727557015043022754328523593462027391772776538505647796527489496697577577448226512742068613499469383337829172124938013959175630077
skew: 0.56
deg: 5
c5: 125
c0: 7
m: 200000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:148933, AFBsize:148595, largePrimes:6600171 encountered
Relations: rels:5970160, finalFF:355083
Max relations in full relation-set: 28
Initial matrix: 297593 x 355083 with sparse part having weight 26405611.
Pruned matrix : 257089 x 258640 with weight 16503342.
Total sieving time: 7.87 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.09 hours.
Total square root time: 0.47 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 11.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10149+7

c118

name 名前Sinkiti Sibata
date 日付September 13, 2007 17:31:02 UTC 2007 年 9 月 14 日 (金) 2 時 31 分 2 秒 (日本時間)
composite number 合成数
1294404957058911574763733833658886023194297370404618272196308663603704846302793844151119322689824792125201967510771889<118>
prime factors 素因数
458151166462975414839515281092455846471073253<45>
2825279191259063103973675923003172457201413683427285242607338783549973213<73>
factorization results 素因数分解の結果
Number: 40007_149
N=1294404957058911574763733833658886023194297370404618272196308663603704846302793844151119322689824792125201967510771889
  ( 118 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=458151166462975414839515281092455846471073253 (pp45)
 r2=2825279191259063103973675923003172457201413683427285242607338783549973213 (pp73)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 26.65 hours.
Scaled time: 18.20 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_149
n: 1294404957058911574763733833658886023194297370404618272196308663603704846302793844151119322689824792125201967510771889
m: 1000000000000000000000000000000
c5: 2
c0: 35
skew: 1.77
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 1550001)
Primes: RFBsize:114155, AFBsize:113967, largePrimes:2700927 encountered
Relations: rels:2700881, finalFF:256445
Max relations in full relation-set: 0
Initial matrix: 228187 x 256445 with sparse part having weight 13732659.
Pruned matrix : 217172 x 218376 with weight 10745713.
Total sieving time: 25.50 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 26.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10153+7

c128

name 名前Sinkiti Sibata
date 日付September 15, 2007 04:37:05 UTC 2007 年 9 月 15 日 (土) 13 時 37 分 5 秒 (日本時間)
composite number 合成数
10688687110682450660439951947485525140658610226471628564203051191314620050655242128626856748244492908709436441566630388274780189<128>
prime factors 素因数
309312185819485412279995450362993507710825827912972995314067713<63>
34556307836253073852792654157706035652442377990012162822070317853<65>
factorization results 素因数分解の結果
Number: 40007_153
N=10688687110682450660439951947485525140658610226471628564203051191314620050655242128626856748244492908709436441566630388274780189
  ( 128 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=309312185819485412279995450362993507710825827912972995314067713 (pp63)
 r2=34556307836253073852792654157706035652442377990012162822070317853 (pp65)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 34.45 hours.
Scaled time: 22.81 units (timescale=0.662).
Factorization parameters were as follows:
name: 40007_153
n: 10688687110682450660439951947485525140658610226471628564203051191314620050655242128626856748244492908709436441566630388274780189
m: 2000000000000000000000000000000
c5: 125
c0: 7
skew: 0.56
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176043, largePrimes:5482109 encountered
Relations: rels:5371718, finalFF:399515
Max relations in full relation-set: 0
Initial matrix: 352410 x 399515 with sparse part having weight 26957995.
Pruned matrix : 325683 x 327509 with weight 20456304.
Total sieving time: 30.73 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 34.45 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 2.4GHz, Windows XP and Cygwin)

4×10154+7

c113

name 名前Jo Yeong Uk
date 日付September 14, 2007 13:46:11 UTC 2007 年 9 月 14 日 (金) 22 時 46 分 11 秒 (日本時間)
composite number 合成数
45218080587979093989708475325381839456130749535604419753028667196019088987174074624391266950271169021962161020597<113>
prime factors 素因数
4999642122681669494026196348160121217<37>
9044263464946840747038283509739191493041103507550062570873462979319591737141<76>
factorization results 素因数分解の結果
Number: 40007_154
N=45218080587979093989708475325381839456130749535604419753028667196019088987174074624391266950271169021962161020597
  ( 113 digits)
Divisors found:
 r1=4999642122681669494026196348160121217 (pp37)
 r2=9044263464946840747038283509739191493041103507550062570873462979319591737141 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.99 hours.
Scaled time: 42.53 units (timescale=2.127).
Factorization parameters were as follows:
name: 40007_154
n: 45218080587979093989708475325381839456130749535604419753028667196019088987174074624391266950271169021962161020597
skew: 31283.77
# norm 1.65e+16
c5: 68040
c4: 13966398846
c3: -414229534697503
c2: 932493901125242698
c1: 180032739590643387395624
c0: 35538889773243182429407920
# alpha -6.92
Y1: 836403879509
Y0: -3668643396033347782541
# Murphy_E 6.56e-10
# M 28071116392022513803667070326716114062434066061004312341816282378150721023164556206800033729572617394388783406386
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2380001)
Primes: RFBsize:203362, AFBsize:203919, largePrimes:7534644 encountered
Relations: rels:7339518, finalFF:490981
Max relations in full relation-set: 28
Initial matrix: 407361 x 490981 with sparse part having weight 46092839.
Pruned matrix : 345308 x 347408 with weight 30104251.
Polynomial selection time: 1.07 hours.
Total sieving time: 18.05 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 19.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10157+7

c99

name 名前Jo Yeong Uk
date 日付September 11, 2007 23:31:41 UTC 2007 年 9 月 12 日 (水) 8 時 31 分 41 秒 (日本時間)
composite number 合成数
141771910714383936723190602488517820827004390019966573920874057536635436839306793283547283634500889<99>
prime factors 素因数
8814970410242325051502600691310445528441<40>
16083084130339877401016180137996623124776743395012266452129<59>
factorization results 素因数分解の結果
Number: 40007_157
N=141771910714383936723190602488517820827004390019966573920874057536635436839306793283547283634500889
  ( 99 digits)
Divisors found:
 r1=8814970410242325051502600691310445528441 (pp40)
 r2=16083084130339877401016180137996623124776743395012266452129 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.05 hours.
Scaled time: 6.54 units (timescale=2.142).
Factorization parameters were as follows:
name: 40007_157
n: 141771910714383936723190602488517820827004390019966573920874057536635436839306793283547283634500889
skew: 4008.53
# norm 3.45e+13
c5: 21960
c4: -71874162
c3: -4406460702773
c2: 2450429555282521
c1: 12809475412520706169
c0: 5116825832921210112837
# alpha -5.07
Y1: 14932061617
Y0: -5780858056141522292
# Murphy_E 4.14e-09
# M 88781377175097529873633494690642072436766223929986758768355796430593531738087159338827855254497350
type: gnfs
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [650000, 1050001)
Primes: RFBsize:100021, AFBsize:99853, largePrimes:3742855 encountered
Relations: rels:3574058, finalFF:242656
Max relations in full relation-set: 28
Initial matrix: 199952 x 242656 with sparse part having weight 17822918.
Pruned matrix : 173035 x 174098 with weight 10123182.
Polynomial selection time: 0.23 hours.
Total sieving time: 2.58 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,50000
total time: 3.05 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10158+7

c133

name 名前Jo Yeong Uk
date 日付October 2, 2007 13:06:13 UTC 2007 年 10 月 2 日 (火) 22 時 6 分 13 秒 (日本時間)
composite number 合成数
1590122510953903345542624420568097263521630484531474875782839648114082015795534996005269615326322770371113782601521530538607210893357<133>
prime factors 素因数
40168232933255472863199410867005086259141899511<47>
39586568659768781756154959633375249919813838935426658359620291935490219828230564916987<86>
factorization results 素因数分解の結果
Number: 40007_158
N=1590122510953903345542624420568097263521630484531474875782839648114082015795534996005269615326322770371113782601521530538607210893357
  ( 133 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=40168232933255472863199410867005086259141899511 (pp47)
 r2=39586568659768781756154959633375249919813838935426658359620291935490219828230564916987 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.50 hours.
Scaled time: 52.33 units (timescale=2.136).
Factorization parameters were as follows:
n: 1590122510953903345542624420568097263521630484531474875782839648114082015795534996005269615326322770371113782601521530538607210893357
m: 100000000000000000000000000000000
c5: 1
c0: 175
skew: 2.81
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:283052, largePrimes:5731305 encountered
Relations: rels:5871089, finalFF:749665
Max relations in full relation-set: 28
Initial matrix: 566262 x 749665 with sparse part having weight 45967150.
Pruned matrix : 415205 x 418100 with weight 27576167.
Total sieving time: 23.50 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10159+7

c130

name 名前Jo Yeong Uk
date 日付September 13, 2007 03:43:21 UTC 2007 年 9 月 13 日 (木) 12 時 43 分 21 秒 (日本時間)
composite number 合成数
8990597296336382756677302339005565857986834237692550818864753437180932017431729804854997682116252368112514260762093910047694330157<130>
prime factors 素因数
38552289465776278156018648781010077<35>
233205275767539960164870481835449750381744466297103083038069953484504186782020869825210096921041<96>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 8990597296336382756677302339005565857986834237692550818864753437180932017431729804854997682116252368112514260762093910047694330157 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3980882931
Step 1 took 6692ms
Step 2 took 3797ms
********** Factor found in step 2: 38552289465776278156018648781010077
Found probable prime factor of 35 digits: 38552289465776278156018648781010077
Probable prime cofactor 233205275767539960164870481835449750381744466297103083038069953484504186782020869825210096921041 has 96 digits
execution environment 実行環境
Core 2 Quad Q6600

4×10160+7

c142

name 名前Jo Yeong Uk
date 日付September 13, 2007 08:08:51 UTC 2007 年 9 月 13 日 (木) 17 時 8 分 51 秒 (日本時間)
composite number 合成数
3198327572560266300933521529464782315623756065384046576739646940187037133693125559330938894710532221358415035862741795051858529686745463725087<142>
prime factors 素因数
25817512708582211180172834678179339<35>
123882095407939278236523043249249576804371883991910405477004505369234945547803086828965151030213745119507133<108>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 3198327572560266300933521529464782315623756065384046576739646940187037133693125559330938894710532221358415035862741795051858529686745463725087 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=246460385
Step 1 took 7225ms
Step 2 took 4140ms
********** Factor found in step 2: 25817512708582211180172834678179339
Found probable prime factor of 35 digits: 25817512708582211180172834678179339
Probable prime cofactor 123882095407939278236523043249249576804371883991910405477004505369234945547803086828965151030213745119507133 has 108 digits
execution environment 実行環境
Core 2 Quad Q6600

4×10161+7

c161

name 名前Robert Backstrom
date 日付September 13, 2007 11:52:30 UTC 2007 年 9 月 13 日 (木) 20 時 52 分 30 秒 (日本時間)
composite number 合成数
10810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810811<161>
prime factors 素因数
135634950176910695018973466825893607656590609530685636796371<60>
79705199852324998153571878460082630852438535935125517735082254432468091835256979745543882602791947641<101>
factorization results 素因数分解の結果
Number: n
N=10810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810811
  ( 161 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=135634950176910695018973466825893607656590609530685636796371 (pp60)
 r2=79705199852324998153571878460082630852438535935125517735082254432468091835256979745543882602791947641 (pp101)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.22 hours.
Scaled time: 51.03 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_4_0_160_7
n: 10810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810811
skew: 0.71
deg: 5
c5: 40
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:250150, AFBsize:249831, largePrimes:7163858 encountered
Relations: rels:6733578, finalFF:603451
Max relations in full relation-set: 28
Initial matrix: 500047 x 603451 with sparse part having weight 36708271.
Pruned matrix : 409178 x 411742 with weight 20824560.
Total sieving time: 31.18 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.64 hours.
Total square root time: 0.20 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 35.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10162+7

c151

name 名前Robert Backstrom
date 日付September 22, 2007 17:29:54 UTC 2007 年 9 月 23 日 (日) 2 時 29 分 54 秒 (日本時間)
composite number 合成数
4040109530469872295206417141478966201658930005731568037108063258312773845625926951228352920828858552387046131679020631083739483089980760886171559437851<151>
prime factors 素因数
234034230184541159881265925110454036781626436280873469868669<60>
17262900077839710421537401417208645828242546967978794855357928428513665188571039974636777079<92>
factorization results 素因数分解の結果
Number: n
N=4040109530469872295206417141478966201658930005731568037108063258312773845625926951228352920828858552387046131679020631083739483089980760886171559437851
  ( 151 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=234034230184541159881265925110454036781626436280873469868669 (pp60)
 r2=17262900077839710421537401417208645828242546967978794855357928428513665188571039974636777079 (pp92)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 39.72 hours.
Scaled time: 54.22 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_4_0_161_7
n: 4040109530469872295206417141478966201658930005731568037108063258312773845625926951228352920828858552387046131679020631083739483089980760886171559437851
skew: 0.45
deg: 5
c5: 400
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1800001)
Primes: RFBsize:216816, AFBsize:216976, largePrimes:7127302 encountered
Relations: rels:6610032, finalFF:494318
Max relations in full relation-set: 28
Initial matrix: 433856 x 494318 with sparse part having weight 36516568.
Pruned matrix : 386643 x 388876 with weight 24911065.
Total sieving time: 36.27 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.13 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 39.72 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4×10164+7

c144

name 名前Robert Backstrom
date 日付January 11, 2008 21:36:47 UTC 2008 年 1 月 12 日 (土) 6 時 36 分 47 秒 (日本時間)
composite number 合成数
803256639111961948349569451134375723264862953628626206118805410285163427541196501369025854991877728369841645329293165617105583432513049506792221<144>
prime factors 素因数
196948146026549213753598998945340356169909690257113074987708892318543<69>
4078518408615435716369982093154238241123860446542160172985649100147392724947<76>
factorization results 素因数分解の結果
Number: n
N=803256639111961948349569451134375723264862953628626206118805410285163427541196501369025854991877728369841645329293165617105583432513049506792221
  ( 144 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Jan 12 07:34:52 2008  prp69 factor: 196948146026549213753598998945340356169909690257113074987708892318543
Sat Jan 12 07:34:52 2008  prp76 factor: 4078518408615435716369982093154238241123860446542160172985649100147392724947
Sat Jan 12 07:34:52 2008  elapsed time 01:31:42 (Msieve 1.32)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 39.02 hours.
Scaled time: 68.52 units (timescale=1.756).
Factorization parameters were as follows:
name: KA_4_0_163_7
n: 803256639111961948349569451134375723264862953628626206118805410285163427541196501369025854991877728369841645329293165617105583432513049506792221
type: snfs
skew: 1.77
deg: 5
c5: 2
c0: 35
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1900000)
Primes: RFBsize:230209, AFBsize:229267, largePrimes:7099618 encountered
Relations: rels:6578698, finalFF:504591
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 38.81 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 39.02 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4×10168+7

c143

name 名前Robert Backstrom
date 日付July 13, 2008 06:34:22 UTC 2008 年 7 月 13 日 (日) 15 時 34 分 22 秒 (日本時間)
composite number 合成数
12623794676704621965362748212067023827563490650371887005640338255443815536512266154311383935241401663051630078521097059654813799889624681162403<143>
prime factors 素因数
434600913422969283935715734532476163912699428553621729133663787<63>
29046866416543146278620690212890391220410722501413452500320961183706650069675369<80>
factorization results 素因数分解の結果
Number: n
N=12623794676704621965362748212067023827563490650371887005640338255443815536512266154311383935241401663051630078521097059654813799889624681162403
  ( 143 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Jul 13 16:29:05 2008  prp63 factor: 434600913422969283935715734532476163912699428553621729133663787
Sun Jul 13 16:29:05 2008  prp80 factor: 29046866416543146278620690212890391220410722501413452500320961183706650069675369
Sun Jul 13 16:29:05 2008  elapsed time 01:05:28 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 47.09 hours.
Scaled time: 86.36 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_4_0_167_7
n: 12623794676704621965362748212067023827563490650371887005640338255443815536512266154311383935241401663051630078521097059654813799889624681162403
skew: 0.56
deg: 5
c5: 125
c0: 7
m: 2000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2900000)
Primes: RFBsize:380800, AFBsize:380502, largePrimes:7959970 encountered
Relations: rels:7657643, finalFF:861422
Max relations in full relation-set: 28
Initial matrix: 761367 x 861422 with sparse part having weight 40728051.
Pruned matrix : 
Total sieving time: 46.84 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 47.09 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10170+7

c147

name 名前Robert Backstrom
date 日付May 19, 2009 22:15:51 UTC 2009 年 5 月 20 日 (水) 7 時 15 分 51 秒 (日本時間)
composite number 合成数
225061613892819300304785905266740211732831812868396480313631702593877904934930918137401620751717308464609538424488999385361130786232218389221857813<147>
prime factors 素因数
22070578087533539660066827927884256765089556891<47>
10197359262644066179879009668764560198414918046657958570180948390548824665266349600950111435706326543<101>
factorization results 素因数分解の結果
Number: n
N=225061613892819300304785905266740211732831812868396480313631702593877904934930918137401620751717308464609538424488999385361130786232218389221857813
  ( 147 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=22070578087533539660066827927884256765089556891 (pp47)
 r2=10197359262644066179879009668764560198414918046657958570180948390548824665266349600950111435706326543 (pp101)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 37.67 hours.
Scaled time: 98.95 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_4_0_169_7
n: 225061613892819300304785905266740211732831812868396480313631702593877904934930918137401620751717308464609538424488999385361130786232218389221857813
m: 10000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [2450000, 4250001)
Primes: RFBsize:341992, AFBsize:341158, largePrimes:16380774 encountered
Relations: rels:16086164, finalFF:804371
Max relations in full relation-set: 28
Initial matrix: 683214 x 804371 with sparse part having weight 83408290.
Pruned matrix : 597975 x 601455 with weight 63746608.
Total sieving time: 33.20 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 3.16 hours.
Total square root time: 0.82 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,28,28,56,56,2.4,2.4,100000
total time: 37.67 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10171+7

c145

name 名前Sinkiti Sibata
date 日付January 28, 2010 23:13:25 UTC 2010 年 1 月 29 日 (金) 8 時 13 分 25 秒 (日本時間)
composite number 合成数
1199291985255225192754578703725735635034737485447419639459131108568918655877742516064449398215741509247520027186101646141132386513584233490174761<145>
prime factors 素因数
410037667471288976241689296388276289281<39>
51426660780166300926755648189998830408613787<44>
56873879204227560921875844575762314754395742118690775665543563<62>
factorization results 素因数分解の結果
Number: 40007_171
N=1199291985255225192754578703725735635034737485447419639459131108568918655877742516064449398215741509247520027186101646141132386513584233490174761
  ( 145 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=410037667471288976241689296388276289281 (pp39)
 r2=51426660780166300926755648189998830408613787 (pp44)
 r3=56873879204227560921875844575762314754395742118690775665543563 (pp62)
Version: Msieve-1.40
Total time: 57.66 hours.
Scaled time: 121.14 units (timescale=2.101).
Factorization parameters were as follows:
name: 40007_171
n: 1199291985255225192754578703725735635034737485447419639459131108568918655877742516064449398215741509247520027186101646141132386513584233490174761
m: 10000000000000000000000000000000000
deg: 5
c5: 40
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 852452 x 852700
Total sieving time: 55.44 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.76 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 57.66 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJune 17, 2009 05:33:04 UTC 2009 年 6 月 17 日 (水) 14 時 33 分 4 秒 (日本時間)

4×10172+7

c143

name 名前Serge Batalov
date 日付November 24, 2008 03:25:12 UTC 2008 年 11 月 24 日 (月) 12 時 25 分 12 秒 (日本時間)
composite number 合成数
72914432573039764485645880875045651008927003853729473970414449958165524809692232914487279677657403075526865507092416340315342944171122673885391<143>
prime factors 素因数
100305578557150326645901431665213886002442319<45>
726923004900429115307541442670226086141573640361924923419646985297364567603919585356657165361801089<99>
factorization results 素因数分解の結果
SNFS difficulty: 172 digits.
Divisors found:
 r1=100305578557150326645901431665213886002442319 (pp45)
 r2=726923004900429115307541442670226086141573640361924923419646985297364567603919585356657165361801089 (pp99)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.538).
Factorization parameters were as follows:
n: 72914432573039764485645880875045651008927003853729473970414449958165524809692232914487279677657403075526865507092416340315342944171122673885391
m: 20000000000000000000000000000000000
deg: 5
c5: 25
c0: 14
skew: 0.89
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [2650000, 4950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 965179 x 965421
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,53,53,2.5,2.5,100000
total time: 37.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10174+7

c151

name 名前Wataru Sakai
date 日付August 3, 2010 13:36:02 UTC 2010 年 8 月 3 日 (火) 22 時 36 分 2 秒 (日本時間)
composite number 合成数
1253524560661331280230025695397313591564814112191226797483239336720470519760464369879894033179678585353101136612796379296031321969935429744959065667393<151>
prime factors 素因数
76982944784946368920484345557544894861183<41>
16283146405519833518143913288935446051211681948850296589711890188256730869928049433790754073851412297997719871<110>
factorization results 素因数分解の結果
Number: 40007_174
N=1253524560661331280230025695397313591564814112191226797483239336720470519760464369879894033179678585353101136612796379296031321969935429744959065667393
  ( 151 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=76982944784946368920484345557544894861183
 r2=16283146405519833518143913288935446051211681948850296589711890188256730869928049433790754073851412297997719871
Version: 
Total time: 85.33 hours.
Scaled time: 171.94 units (timescale=2.015).
Factorization parameters were as follows:
n: 1253524560661331280230025695397313591564814112191226797483239336720470519760464369879894033179678585353101136612796379296031321969935429744959065667393
m: 20000000000000000000000000000000000
deg: 5
c5: 1250
c0: 7
skew: 0.35
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 5050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 979750 x 979998
Total sieving time: 85.33 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 85.33 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxOctober 3, 2009 12:37:02 UTC 2009 年 10 月 3 日 (土) 21 時 37 分 2 秒 (日本時間)
403e62063Wataru SakaiMay 25, 2010 12:30:00 UTC 2010 年 5 月 25 日 (火) 21 時 30 分 0 秒 (日本時間)
4511e66382Robert BackstromJuly 28, 2010 11:43:43 UTC 2010 年 7 月 28 日 (水) 20 時 43 分 43 秒 (日本時間)

4×10176+7

c174

name 名前matsuix
date 日付November 11, 2007 10:24:09 UTC 2007 年 11 月 11 日 (日) 19 時 24 分 9 秒 (日本時間)
composite number 合成数
982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982801<174>
prime factors 素因数
7135210354090040619550238567081980993<37>
composite cofactor 合成数の残り
137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457<138>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 

98280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098

2800982800982800982801 (174 digits)

Using B1=6700417, B2=14271659230, polynomial Dickson(12), sigma=1265699576

Step 1 took 187692ms

Step 2 took 36199ms

********** Factor found in step 2: 7135210354090040619550238567081980993

Found probable prime factor of 37 digits: 7135210354090040619550238567081980993

Composite cofactor 

137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457 has 138 

digits

c138

name 名前Warut Roonguthai
date 日付October 14, 2011 23:34:20 UTC 2011 年 10 月 15 日 (土) 8 時 34 分 20 秒 (日本時間)
composite number 合成数
137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457<138>
prime factors 素因数
86406086830766213721042664242352923897087065103767310682979<59>
1594095969696754347682904756547583137063074286784180958958904570542532322797883<79>
factorization results 素因数分解の結果
N = 137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457 (138 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=86406086830766213721042664242352923897087065103767310682979 (pp59)
r2=1594095969696754347682904756547583137063074286784180958958904570542532322797883 (pp79)
Version: Msieve v. 1.48
Total time: 26.73 hours.
Factorization parameters were as follows:
name: 4*10^176+7
n: 137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 40
skew: 0.71
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19387583
Relations: 2461318 relations
Pruned matrix : 1354750 x 1354978
Polynomial selection time: 0.00 hours.
Total sieving time: 24.20 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.37 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 26.73 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 7, 2011 13:33:28 UTC 2011 年 4 月 7 日 (木) 22 時 33 分 28 秒 (日本時間)
2036Wataru SakaiMay 18, 2011 02:33:19 UTC 2011 年 5 月 18 日 (水) 11 時 33 分 19 秒 (日本時間)
4511e64000Wataru SakaiAugust 28, 2011 04:36:19 UTC 2011 年 8 月 28 日 (日) 13 時 36 分 19 秒 (日本時間)

4×10177+7

c103

name 名前Jo Yeong Uk
date 日付September 16, 2007 16:36:24 UTC 2007 年 9 月 17 日 (月) 1 時 36 分 24 秒 (日本時間)
composite number 合成数
3622860119900081675144939418188208681175682968519562762569963159265022505636801426201586907652900083941<103>
prime factors 素因数
2168624917890105707938720036681408679<37>
1670579402649688089552461215114367735067686171584466742428310437779<67>
factorization results 素因数分解の結果
Number: 40007_177
N=3622860119900081675144939418188208681175682968519562762569963159265022505636801426201586907652900083941
  ( 103 digits)
Divisors found:
 r1=2168624917890105707938720036681408679 (pp37)
 r2=1670579402649688089552461215114367735067686171584466742428310437779 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.70 hours.
Scaled time: 12.10 units (timescale=2.122).
Factorization parameters were as follows:
name: 40007_177
n: 3622860119900081675144939418188208681175682968519562762569963159265022505636801426201586907652900083941
skew: 5201.92
# norm 2.88e+14
c5: 538560
c4: 53023360
c3: -50292647881684
c2: -6925540917256562
c1: 749244940025056718037
c0: -1154576317830065586983730
# alpha -6.47
Y1: 58997159591
Y0: -23204032905420498401
# Murphy_E 2.42e-09
# M 1370455034032052557571471097180820566906316879206462490274763309076187559978205487356334531363056920027
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1620001)
Primes: RFBsize:135072, AFBsize:135194, largePrimes:4450489 encountered
Relations: rels:4488383, finalFF:403745
Max relations in full relation-set: 28
Initial matrix: 270349 x 403745 with sparse part having weight 33923516.
Pruned matrix : 193755 x 195170 with weight 15534745.
Polynomial selection time: 0.35 hours.
Total sieving time: 5.06 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.37 BogoMIPS (lpj=2407686)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.11 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

4×10178+7

c136

name 名前Robert Backstrom
date 日付May 29, 2012 09:00:06 UTC 2012 年 5 月 29 日 (火) 18 時 0 分 6 秒 (日本時間)
composite number 合成数
1202669284285099186401315370094948291673818003955856973023257116448103151001600737001206766822582016522733090012680625997367422747646267<136>
prime factors 素因数
1563362006220667088154890552346111754498073<43>
769283940315576237259252254305122932469351279083047996175021132544870432641839950287392894579<93>
factorization results 素因数分解の結果
Number: n
N=1202669284285099186401315370094948291673818003955856973023257116448103151001600737001206766822582016522733090012680625997367422747646267
  ( 136 digits)
Divisors found:

Tue May 29 18:54:44 2012  prp43 factor: 1563362006220667088154890552346111754498073
Tue May 29 18:54:44 2012  prp93 factor: 769283940315576237259252254305122932469351279083047996175021132544870432641839950287392894579
Tue May 29 18:54:44 2012  elapsed time 04:30:01 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
name: KA_40007_178
n: 1202669284285099186401315370094948291673818003955856973023257116448103151001600737001206766822582016522733090012680625997367422747646267
skew: 116437.75
# norm 1.15e+19
c5: 110880
c4: -960008103426
c3: -19567906526221064
c2: -9329849655678257779718
c1: 98968560992440843585146529
c0: 3901946446121018983082262126519
# alpha -6.41
Y1: 1581252528694733
Y0: -101641320977669167329539200
# Murphy_E 3.36e-11
# M 17285127041152477706327755130350308140182766970554787197507029607820085286615036959306218172359406605849313112657116792441924127274037
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14040000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2688268 hash collisions in 25264657 relations (23334532 unique)
Msieve: matrix is 1543312 x 1543538 (448.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
Memory: 6059556k/6815744k available (3972k kernel code, 525892k absent, 230296k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa01e8440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6206.01 BogoMIPS (lpj=3103008)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102991)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102995)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102994)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102994)
Calibrating delay using timer specific routine.. 6206.00 BogoMIPS (lpj=3103002)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Total of 8 processors activated (49647.95 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 7, 2011 13:33:38 UTC 2011 年 4 月 7 日 (木) 22 時 33 分 38 秒 (日本時間)
2036Wataru SakaiJanuary 11, 2012 06:15:15 UTC 2012 年 1 月 11 日 (水) 15 時 15 分 15 秒 (日本時間)

4×10179+7

c148

name 名前Dmitry Domanov
date 日付December 2, 2012 07:09:24 UTC 2012 年 12 月 2 日 (日) 16 時 9 分 24 秒 (日本時間)
composite number 合成数
3462414877997995367746778414036825019585800042496066102169580153296211560858747211182421457625668826164835800136218835966761586319693554519949740409<148>
prime factors 素因数
50908443942493453887015118513597866765285027457390712482503402327903932359<74>
68012585140279758528459181985230163401345685666640474962991190006186613951<74>
factorization results 素因数分解の結果
N=3462414877997995367746778414036825019585800042496066102169580153296211560858747211182421457625668826164835800136218835966761586319693554519949740409
  ( 148 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=50908443942493453887015118513597866765285027457390712482503402327903932359 (pp74)
 r2=68012585140279758528459181985230163401345685666640474962991190006186613951 (pp74)
Version: Msieve-1.40
Total time: 103.18 hours.
Scaled time: 201.91 units (timescale=1.957).
Factorization parameters were as follows:
n: 3462414877997995367746778414036825019585800042496066102169580153296211560858747211182421457625668826164835800136218835966761586319693554519949740409
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 35
skew: 1.77
# Murphy_E = 1.572e-10
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1070877 x 1071102
Total sieving time: 101.76 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 103.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 7, 2011 13:33:51 UTC 2011 年 4 月 7 日 (木) 22 時 33 分 51 秒 (日本時間)
2036Wataru SakaiMarch 22, 2012 05:28:59 UTC 2012 年 3 月 22 日 (木) 14 時 28 分 59 秒 (日本時間)

4×10182+7

c136

name 名前Serge Batalov
date 日付August 6, 2008 22:19:32 UTC 2008 年 8 月 7 日 (木) 7 時 19 分 32 秒 (日本時間)
composite number 合成数
2632538036644391087882571060728539767524412685796006901617199369400160580098436206259553874569545309584747862172347276675936181654797049<136>
prime factors 素因数
2330176577666875374606105976962270839<37>
47627606812357868080621344383726803782953<41>
23720676061967159486831460421686709294636997657176676784247<59>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=55071172
Step 1 took 10844ms
Step 2 took 7141ms
********** Factor found in step 2: 2330176577666875374606105976962270839
Found probable prime factor of 37 digits: 2330176577666875374606105976962270839
Composite cofactor 1129759032802681292108641345913746599729470090263548664373455174466738092066408583230872690597541391 has 100 digits

Number: 40007_182
N=1129759032802681292108641345913746599729470090263548664373455174466738092066408583230872690597541391
  ( 100 digits)
Divisors found:
 r1=47627606812357868080621344383726803782953
 r2=23720676061967159486831460421686709294636997657176676784247
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
name: 40007_182
n: 1129759032802681292108641345913746599729470090263548664373455174466738092066408583230872690597541391
skew: 5286.20
# norm 4.88e+13
c5: 58800
c4: -906758215
c3: -6836595460751
c2: 23281841126672733
c1: 66931458270165345836
c0: -88859584402032996519968
# alpha -5.55
Y1: 15480297767
Y0: -7189928693554233609
# Murphy_E 3.55e-09
# M 947782540688762278453606516086462947233300208592534816796037426704101353095513118854962769689206778
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180923 x 181171
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.3 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10184+7

c172

name 名前Robert Backstrom
date 日付February 28, 2012 10:48:19 UTC 2012 年 2 月 28 日 (火) 19 時 48 分 19 秒 (日本時間)
composite number 合成数
1601884872247857541929364463054070741377582346397858650448855896531225418310224802752039645714551698780134263721690562350826500942648593168613713388597206843067491990813889<172>
prime factors 素因数
4038202389358957263240913752263127880894201201820861105035375813467577<70>
396682661688521283105637723961070218244715551697892154840685638111923776709128236756171755229780106057<102>
factorization results 素因数分解の結果
Number: n
N=1601884872247857541929364463054070741377582346397858650448855896531225418310224802752039645714551698780134263721690562350826500942648593168613713388597206843067491990813889
  ( 172 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Feb 28 17:40:47 2012  prp70 factor: 4038202389358957263240913752263127880894201201820861105035375813467577
Tue Feb 28 17:40:47 2012  prp102 factor: 396682661688521283105637723961070218244715551697892154840685638111923776709128236756171755229780106057
Tue Feb 28 17:40:47 2012  elapsed time 01:56:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_40007_184
n: 1601884872247857541929364463054070741377582346397858650448855896531225418310224802752039645714551698780134263721690562350826500942648593168613713388597206843067491990813889
m: 2000000000000000000000000000000000000
#  c172, diff: 184.6
skew: 0.35
deg: 5
c5: 1250
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5443668 hash collisions in 74386426 relations (71648808 unique)
Msieve: matrix is 962029 x 962277 (269.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 7, 2011 14:43:02 UTC 2011 年 4 月 7 日 (木) 23 時 43 分 2 秒 (日本時間)

4×10186+7

c148

name 名前Dmitry Domanov
date 日付April 7, 2011 10:51:59 UTC 2011 年 4 月 7 日 (木) 19 時 51 分 59 秒 (日本時間)
composite number 合成数
1692798530655153039668862721170821641348422631632051347799737269598742160572646433341229099254655125172317824517000297100962149848948168570575096433<148>
prime factors 素因数
14038470155619240766222618912594529<35>
120582835016219274964161752375016768028631861368533092320829475404326979424480003910475628535256587019987262671377<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2575416615
Step 1 took 48621ms
Step 2 took 20772ms
********** Factor found in step 2: 14038470155619240766222618912594529
Found probable prime factor of 35 digits: 14038470155619240766222618912594529
Probable prime cofactor 120582835016219274964161752375016768028631861368533092320829475404326979424480003910475628535256587019987262671377 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10187+7

c167

name 名前Dmitry Domanov
date 日付August 11, 2014 10:35:43 UTC 2014 年 8 月 11 日 (月) 19 時 35 分 43 秒 (日本時間)
composite number 合成数
17559916383216502983393031900448239143457951770613533572095560721644049769781888887818902733641044520141191139969311929620026981478625487631415257526412307071614144607<167>
prime factors 素因数
688590332230738485620370006435189093461031505528861888524463689810963977188483<78>
25501253156328634670229558189358974347407586032777004325563164831960617947093393905354229<89>
factorization results 素因数分解の結果
N=17559916383216502983393031900448239143457951770613533572095560721644049769781888887818902733641044520141191139969311929620026981478625487631415257526412307071614144607
  ( 167 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=688590332230738485620370006435189093461031505528861888524463689810963977188483 (pp78)
 r2=25501253156328634670229558189358974347407586032777004325563164831960617947093393905354229 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 152.99 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17559916383216502983393031900448239143457951770613533572095560721644049769781888887818902733641044520141191139969311929620026981478625487631415257526412307071614144607
m: 10000000000000000000000000000000000000
deg: 5
c5: 400
c0: 7
skew: 0.45
# Murphy_E = 6.812e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 11660001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1902351 x 1902578
Total sieving time: 148.92 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.60 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 152.99 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 7, 2011 14:58:35 UTC 2011 年 4 月 7 日 (木) 23 時 58 分 35 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 10:34:23 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 23 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovDecember 25, 2012 10:34:23 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 23 秒 (日本時間)

4×10188+7

c154

name 名前Daniel Morel
date 日付December 11, 2014 15:19:23 UTC 2014 年 12 月 12 日 (金) 0 時 19 分 23 秒 (日本時間)
composite number 合成数
1123874014609429824236567613843684082091542950341300616058217918866484619157645274086664251736828389608087706521971124081256789273727549486221145265638173<154>
prime factors 素因数
243199590896994738362770572662158973938218516947373908668520401926648208873<75>
4621200267912612430795333791515436481001624072764157228446067146299921603854101<79>
factorization results 素因数分解の結果
Polynomial : X^5 + 175 ; m = 10^38
rlim = alim = 26000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5
skew = 4.3
qIntSize = 100000

Initial matrix : 3246904 x 4651970
Pruned matrice : 1826464 x 1842762

time : 20 days 17 hours or so

p75 = 243199590896994738362770572662158973938218516947373908668520401926648208873
p79 = 4621200267912612430795333791515436481001624072764157228446067146299921603854101
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 7, 2011 14:58:46 UTC 2011 年 4 月 7 日 (木) 23 時 58 分 46 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 10:34:34 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 34 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovDecember 25, 2012 10:34:34 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 34 秒 (日本時間)

4×10192+7

c168

name 名前Dmitry Domanov
date 日付April 7, 2011 15:00:05 UTC 2011 年 4 月 8 日 (金) 0 時 0 分 5 秒 (日本時間)
composite number 合成数
158241590261290641462898297613779972867217868813765931658183723391123131104584724918341966851238155716034170786130229666993153953870783778726149345265625298408498634461<168>
prime factors 素因数
510911950705809060308785244330301179<36>
composite cofactor 合成数の残り
309723798871184708101582315294993479413640350701372517368093767488720267068473582193625670469760063452770298571825634104951290993159<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1937866668
Step 1 took 59760ms
Step 2 took 23731ms
********** Factor found in step 2: 510911950705809060308785244330301179
Found probable prime factor of 36 digits: 510911950705809060308785244330301179
Composite cofactor 309723798871184708101582315294993479413640350701372517368093767488720267068473582193625670469760063452770298571825634104951290993159 has 132 digits

c132

name 名前Dmitry Domanov
date 日付April 11, 2011 20:55:08 UTC 2011 年 4 月 12 日 (火) 5 時 55 分 8 秒 (日本時間)
composite number 合成数
309723798871184708101582315294993479413640350701372517368093767488720267068473582193625670469760063452770298571825634104951290993159<132>
prime factors 素因数
2473421093870358016194945591927342186877<40>
125220812436161176621503688920180892705596314382512360883490984977999696574944794407138861267<93>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=85038718
Step 1 took 126896ms
Step 2 took 96540ms
********** Factor found in step 2: 2473421093870358016194945591927342186877
Found probable prime factor of 40 digits: 2473421093870358016194945591927342186877
Probable prime cofactor 125220812436161176621503688920180892705596314382512360883490984977999696574944794407138861267 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovApril 7, 2011 14:58:57 UTC 2011 年 4 月 7 日 (木) 23 時 58 分 57 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovApril 11, 2011 15:28:54 UTC 2011 年 4 月 12 日 (火) 0 時 28 分 54 秒 (日本時間)

4×10193+7

c161

composite cofactor 合成数の残り
36772988818547455108124111168505856091807688738273109715320356222025361295418506493438548041780529643458294038227899850094127194760761182324630025435299851499321<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 7, 2011 14:59:05 UTC 2011 年 4 月 7 日 (木) 23 時 59 分 5 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 10:34:46 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 46 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovDecember 25, 2012 10:34:46 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 46 秒 (日本時間)

4×10196+7

c190

name 名前matsui
date 日付September 29, 2009 00:14:50 UTC 2009 年 9 月 29 日 (火) 9 時 14 分 50 秒 (日本時間)
composite number 合成数
3405507676482560097206811117518195414671216538439369916375204873213374893013847901002572946187274486217442175969562934590669470875204404956069376661834535066044287435404968925168140556199433<190>
prime factors 素因数
239682331904859805861970201199983371009733444205017707<54>
14208421828248700902749113805654452031722484299404367220663206740298549292027313504104977551440016026904929687743143349558675496264509019<137>
factorization results 素因数分解の結果
N=3405507676482560097206811117518195414671216538439369916375204873213374893013847901002572946187274486217442175969562934590669470875204404956069376661834535066044287435404968925168140556199433
  ( 190 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=239682331904859805861970201199983371009733444205017707 (pp54)
 r2=14208421828248700902749113805654452031722484299404367220663206740298549292027313504104977551440016026904929687743143349558675496264509019 (pp137)
Version: Msieve v. 1.42
Total time: 814.38 hours.
Scaled time: 2140.18 units (timescale=2.628).
Factorization parameters were as follows:
n: 3405507676482560097206811117518195414671216538439369916375204873213374893013847901002572946187274486217442175969562934590669470875204404956069376661834535066044287435404968925168140556199433
m: 2000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 28
skew: 1.41
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6750000, 12350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2472594 x 2472824
Total sieving time: 803.27 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 10.47 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 814.38 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiAugust 29, 2009 05:19:37 UTC 2009 年 8 月 29 日 (土) 14 時 19 分 37 秒 (日本時間)
403e62111Wataru SakaiAugust 30, 2009 07:32:20 UTC 2009 年 8 月 30 日 (日) 16 時 32 分 20 秒 (日本時間)

4×10197+7

c178

composite cofactor 合成数の残り
8331301256832907309157708500822099215961394744994684193364126409085955631213297568779219155903110142294652586003443136961815829046123663126752993517701723128283492081000802999713<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 7, 2011 14:59:14 UTC 2011 年 4 月 7 日 (木) 23 時 59 分 14 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 10:34:57 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 57 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovDecember 25, 2012 10:34:57 UTC 2012 年 12 月 25 日 (火) 19 時 34 分 57 秒 (日本時間)

4×10199+7

c148

composite cofactor 合成数の残り
3120130385171184912799198326020246600170409090267934947127747564622203526474452817726170719298760804796691535391906369965963888868583353217178446091<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 10, 2007 09:00:00 UTC 2007 年 9 月 10 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovApril 7, 2011 14:59:25 UTC 2011 年 4 月 7 日 (木) 23 時 59 分 25 秒 (日本時間)
1000Dmitry DomanovDecember 25, 2012 10:36:46 UTC 2012 年 12 月 25 日 (火) 19 時 36 分 46 秒 (日本時間)
4511e62000 / 41921000Dmitry DomanovDecember 25, 2012 10:36:46 UTC 2012 年 12 月 25 日 (火) 19 時 36 分 46 秒 (日本時間)
1000Dmitry DomanovAugust 5, 2014 11:04:00 UTC 2014 年 8 月 5 日 (火) 20 時 4 分 0 秒 (日本時間)

4×10200+7

c140

name 名前Tyler Cadigan
date 日付March 5, 2008 16:30:35 UTC 2008 年 3 月 6 日 (木) 1 時 30 分 35 秒 (日本時間)
composite number 合成数
12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199<140>
prime factors 素因数
744937326890658098750633812878347827267331909<45>
16309261376519004401367144323776493633648587766960444190910507407496460267050598624335377069811<95>
factorization results 素因数分解の結果
Number: 40007_200
N=12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199
  ( 140 digits)
Divisors found:
 r1=744937326890658098750633812878347827267331909
 r2=16309261376519004401367144323776493633648587766960444190910507407496460267050598624335377069811
Version: 
Total time: 897.57 hours.
Scaled time: 2311.24 units (timescale=2.575).
Factorization parameters were as follows:
name: 40007_200
n: 12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199
skew: 223679.33
# norm 4.09e+019
c5: 2156280
c4: -61228026700
c3: -702373789849651771
c2: -6571146189541794526408
c1: 3301605854013914710688065716
c0: 152604628744953457221152044405968
# alpha -6.36
Y1: 5913557570755153
Y0: -354952153975377700897678475
# Murphy_E 2.08e-011
# M 3547188172572132846724638033940689355703420623635097032285416273587374461874203363023125145717872143374372253454257726653217575781190678802
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2700000, 18780001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1492185 x 1492433
Total sieving time: 897.57 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,139,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 897.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + msieve
execution environment 実行環境
core 2 quad Q6600 2.4 ghz, 4 gb RAM, windows vista

4×10201+7

c175

composite cofactor 合成数の残り
4024425629416166856637861322296640306153677436865968742695778608651559832318277879711870523254498093767760234562475004394613023542574945082582505347790721158720980853002003919<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:11:14 UTC 2012 年 11 月 27 日 (火) 6 時 11 分 14 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:37:00 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 0 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:37:00 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 0 秒 (日本時間)

4×10202+7

c196

name 名前Warut Roonguthai
date 日付November 25, 2012 17:09:40 UTC 2012 年 11 月 26 日 (月) 2 時 9 分 40 秒 (日本時間)
composite number 合成数
1756810286053952434449345603540534905690251420194455181727310806135677492146289416838684013821353563472259987543336666734450263536914998095837251203272305111215533962502729094978741936734889905311<196>
prime factors 素因数
667483556982998291724745572340957<33>
composite cofactor 合成数の残り
2631990357926825704109591989700457485982690486980541663068287960866830986737653056453435830249760864785372089333960850315705084012387899337174340799478682311786923<163>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=314212603
Step 1 took 10655ms
********** Factor found in step 1: 667483556982998291724745572340957
Found probable prime factor of 33 digits: 667483556982998291724745572340957
Composite cofactor 2631990357926825704109591989700457485982690486980541663068287960866830986737653056453435830249760864785372089333960850315705084012387899337174340799478682311786923 has 163 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:11:28 UTC 2012 年 11 月 27 日 (火) 6 時 11 分 28 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:37:09 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 9 秒 (日本時間)
4511e62000 / 42081000Dmitry DomanovDecember 25, 2012 10:37:09 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 9 秒 (日本時間)
1000Dmitry DomanovAugust 5, 2014 11:04:19 UTC 2014 年 8 月 5 日 (火) 20 時 4 分 19 秒 (日本時間)

4×10203+7

c195

composite cofactor 合成数の残り
107527783884317960604265704230348046610989993443194988053433369814221847225288642065539652569380737350051997976588399811974874071987812046129508534433029083137288655353823184993394308825207726763<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:11:35 UTC 2012 年 11 月 27 日 (火) 6 時 11 分 35 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:37:21 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 21 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:37:21 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 21 秒 (日本時間)

4×10204+7

c191

name 名前Warut Roonguthai
date 日付November 25, 2012 18:32:48 UTC 2012 年 11 月 26 日 (月) 3 時 32 分 48 秒 (日本時間)
composite number 合成数
43993702446753110037285134600979889869146031135699421085692795917583785748952263685558247621565509335975932205320805306316430442572429475575776397635301440534628129039122671422832018977718677<191>
prime factors 素因数
8020011658658341060484790559369<31>
composite cofactor 合成数の残り
5485491083950963755543831884431324707217897674618846721423912237607045084565923162312121953582387064379509874121477250244168926132424870388413525491057880175533<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3309664432
Step 1 took 10453ms
Step 2 took 5834ms
********** Factor found in step 2: 8020011658658341060484790559369
Found probable prime factor of 31 digits: 8020011658658341060484790559369
Composite cofactor 5485491083950963755543831884431324707217897674618846721423912237607045084565923162312121953582387064379509874121477250244168926132424870388413525491057880175533 has 160 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:11:42 UTC 2012 年 11 月 27 日 (火) 6 時 11 分 42 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:37:30 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 30 秒 (日本時間)
4511e62000 / 42081000Dmitry DomanovDecember 25, 2012 10:37:30 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 30 秒 (日本時間)
1000Dmitry DomanovAugust 5, 2014 11:04:31 UTC 2014 年 8 月 5 日 (火) 20 時 4 分 31 秒 (日本時間)

4×10205+7

c175

name 名前Warut Roonguthai
date 日付November 25, 2012 22:47:18 UTC 2012 年 11 月 26 日 (月) 7 時 47 分 18 秒 (日本時間)
composite number 合成数
3377962847743784112296080025584336181539533723318657758267139229221320271003320878245529014333731174236778846338850700400984035804496085154310879549761891886220715108606871957<175>
prime factors 素因数
23367118133193453510408592101248483<35>
144560524258458772923419907478227052853921513060423854371522522854900906191049868924492682802978185489987412548201089903749252849941007344679<141>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1324322346
Step 1 took 10031ms
Step 2 took 6349ms
********** Factor found in step 2: 23367118133193453510408592101248483
Found probable prime factor of 35 digits: 23367118133193453510408592101248483
Probable prime cofactor 144560524258458772923419907478227052853921513060423854371522522854900906191049868924492682802978185489987412548201089903749252849941007344679 has 141 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)

4×10206+7

c185

name 名前Warut Roonguthai
date 日付November 25, 2012 17:10:59 UTC 2012 年 11 月 26 日 (月) 2 時 10 分 59 秒 (日本時間)
composite number 合成数
38384232740668263967884645323853102102646556685914677516017685091786977255096314877591754810259002802403341263279650787377925002307175400277116104918662035666810811896288248185313446779<185>
prime factors 素因数
385978789152483152523868521293<30>
99446482085066987637357495828790063221358550958625309399032256413424532995748334553591545632952083087605915816463865604823886802985116047661805410039715303<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3359828010
Step 1 took 8689ms
Step 2 took 6022ms
********** Factor found in step 2: 385978789152483152523868521293
Found probable prime factor of 30 digits: 385978789152483152523868521293
Probable prime cofactor 99446482085066987637357495828790063221358550958625309399032256413424532995748334553591545632952083087605915816463865604823886802985116047661805410039715303 has 155 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)

4×10209+7

c161

composite cofactor 合成数の残り
11187948857779994582061457858794505171353022075017032367629157564124468663708904493721419631943257063711487608061105653119725489971685873753474869434357776892787<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:12:08 UTC 2012 年 11 月 27 日 (火) 6 時 12 分 8 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:37:43 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 43 秒 (日本時間)
4511e62000 / 42081000Dmitry DomanovDecember 25, 2012 10:37:43 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 43 秒 (日本時間)
1000Dmitry DomanovAugust 5, 2014 11:04:44 UTC 2014 年 8 月 5 日 (火) 20 時 4 分 44 秒 (日本時間)

4×10210+7

c189

name 名前Warut Roonguthai
date 日付November 25, 2012 22:52:50 UTC 2012 年 11 月 26 日 (月) 7 時 52 分 50 秒 (日本時間)
composite number 合成数
382774389424953924359730372577130646908852820143562437373367567691286401097634246265963937103690844946381705751690335746220186750503512917211457077319585251663649794163757630071377029502219<189>
prime factors 素因数
239134959998275532563155055329089<33>
1600662610885979260036167251593112898709958565203575526751274558994845010555075286933089777809669581515130471896374897092603053239606908920866796200380452171<157>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2361596253
Step 1 took 9298ms
Step 2 took 5445ms
********** Factor found in step 2: 239134959998275532563155055329089
Found probable prime factor of 33 digits: 239134959998275532563155055329089
Probable prime cofactor 16006626108859792600361672515931128987099585652035755267
51274558994845010555075286933089777809669581515130471896374897092603053239606908
920866796200380452171 has 157 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)

4×10211+7

c153

name 名前Warut Roonguthai
date 日付November 27, 2012 02:08:34 UTC 2012 年 11 月 27 日 (火) 11 時 8 分 34 秒 (日本時間)
composite number 合成数
385177757733139913732225999575285731406196350993632414796116192189361609364598007432451566219987526344183871485886481671516968226950220056905304650337919<153>
prime factors 素因数
9960518138127405257115350927806321957<37>
2444835524866616974792934968996806853645121<43>
15817200597764909530409915610732344832737412154556891020195727939800670227<74>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3965772522
Step 1 took 6568ms
Step 2 took 5241ms
********** Factor found in step 2: 9960518138127405257115350927806321957
Found probable prime factor of 37 digits: 9960518138127405257115350927806321957
Composite cofactor 38670453925357140352320348493193187720412738033508562190752892412953238336162638044842342574381365476518813808512467 has 116 digits

N = 38670453925357140352320348493193187720412738033508562190752892412953238336162638044842342574381365476518813808512467 (116 digits)
Divisors found:
r1=2444835524866616974792934968996806853645121 (pp43)
r2=15817200597764909530409915610732344832737412154556891020195727939800670227 (pp74)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 5.06 hours.
Factorization parameters were as follows:
n: 38670453925357140352320348493193187720412738033508562190752892412953238336162638044842342574381365476518813808512467
Y0: -21102941884134933910742
Y1: 1692791007781
c0: 105260618129093954266187009457
c1: 5779109744550156138439599
c2: 41998508596865140947
c3: -332982315238669
c4: -2046458774
c5: 9240
skew: 145375.27 
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9114714
Relations: 1103464 relations
Pruned matrix : 597685 x 597912
Polynomial selection time: 0.00 hours.
Total sieving time: 4.70 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.25 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 5.06 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)

4×10212+7

c207

name 名前Dmitry Domanov
date 日付December 20, 2012 16:14:56 UTC 2012 年 12 月 21 日 (金) 1 時 14 分 56 秒 (日本時間)
composite number 合成数
548132171110419855539766303848847072494590620636354044050641931288891690453319008812594981027775227440592750129838808031780703280982143224195650297156153263236364184495807474056219176129940212483436130954257<207>
prime factors 素因数
10954137099129631391861300997868886835431849<44>
composite cofactor 合成数の残り
50038826988387070647357693383670188700600076330765973114934918196116278996331877319991187031933796690756345331060427564935698726391101162338363099029474541600202793<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4143726657
Step 1 took 98232ms
Step 2 took 33548ms
********** Factor found in step 2: 10954137099129631391861300997868886835431849
Found probable prime factor of 44 digits: 10954137099129631391861300997868886835431849

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:12:15 UTC 2012 年 11 月 27 日 (火) 6 時 12 分 15 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:37:54 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 54 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:37:54 UTC 2012 年 12 月 25 日 (火) 19 時 37 分 54 秒 (日本時間)

4×10214+7

c202

composite cofactor 合成数の残り
1664460824291773607169645620087736573787227763038432851206629919992655905450431471683300697440461034868873656509123092303903131314098478562147955486432989185433545033174885317001497230415173923244788337<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:12:22 UTC 2012 年 11 月 27 日 (火) 6 時 12 分 22 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:38:06 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 6 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:38:06 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 6 秒 (日本時間)

4×10215+7

c193

name 名前Dmitry Domanov
date 日付November 30, 2012 06:50:26 UTC 2012 年 11 月 30 日 (金) 15 時 50 分 26 秒 (日本時間)
composite number 合成数
1988847377065302371186381293793903169862893306514793498998151749724836434972564779560731003909570545528387263510290363195934710119897729499743271033038968549144642346076403650094223051913672127<193>
prime factors 素因数
791350078581401324915406424303479060683<39>
composite cofactor 合成数の残り
2513233309625206349128273493685193149624385439645587882426189760818881447602445260446386175154698631555640273693456358735545029066482903509071265079295069<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1633987327
Step 1 took 31742ms
Step 2 took 11923ms
********** Factor found in step 2: 791350078581401324915406424303479060683
Found probable prime factor of 39 digits: 791350078581401324915406424303479060683

c154

name 名前Dmitry Domanov
date 日付December 17, 2012 08:15:52 UTC 2012 年 12 月 17 日 (月) 17 時 15 分 52 秒 (日本時間)
composite number 合成数
2513233309625206349128273493685193149624385439645587882426189760818881447602445260446386175154698631555640273693456358735545029066482903509071265079295069<154>
prime factors 素因数
10881711427814197674723710857193753889019<41>
230959378614034602822324353339795939932665300843875352754489720741842104552789876689771525659845592126336871202951<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2385643195
Step 1 took 86712ms
Step 2 took 31063ms
********** Factor found in step 2: 10881711427814197674723710857193753889019
Found probable prime factor of 41 digits: 10881711427814197674723710857193753889019

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:12:30 UTC 2012 年 11 月 27 日 (火) 6 時 12 分 30 秒 (日本時間)

4×10216+7

c185

name 名前Dmitry Domanov
date 日付December 19, 2012 09:36:54 UTC 2012 年 12 月 19 日 (水) 18 時 36 分 54 秒 (日本時間)
composite number 合成数
38977397553789769408504648245242166890765159614275013172567345547299920132967145376399292164175266123372580910729599644604462848582742979578385521398814580291581902331595279091326752023<185>
prime factors 素因数
45187711066280119656912828411566736086098420441<47>
composite cofactor 合成数の残り
862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1575178505
Step 1 took 83949ms
Step 2 took 30224ms
********** Factor found in step 2: 45187711066280119656912828411566736086098420441
Found probable prime factor of 47 digits: 45187711066280119656912828411566736086098420441

c138

name 名前Erik Branger
date 日付December 11, 2013 19:18:54 UTC 2013 年 12 月 12 日 (木) 4 時 18 分 54 秒 (日本時間)
composite number 合成数
862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703<138>
prime factors 素因数
8470334325077456080418360382776195530187921<43>
101833798396522228631754742416211211593372183134190072868300802322398058703856732370950853830143<96>
factorization results 素因数分解の結果
Number: 40007_216
N = 862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703 (138 digits)
Divisors found:
r1=8470334325077456080418360382776195530187921 (pp43)
r2=101833798396522228631754742416211211593372183134190072868300802322398058703856732370950853830143 (pp96)
Version: Msieve v. 1.51 (SVN 845)
Total time: 181.39 hours.
Factorization parameters were as follows:
# Murphy_E = 2.582e-11, selected by Erik Branger
n: 862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703
Y0: -863185661957506726536186268
Y1: 124444137280573
c0: 6481851643595655654019394835499051455
c1: 8099899045804906156759709756581
c2: 2305134666267755146880843
c3: -281964290151993413
c4: -31587013890
c5: 1800
skew: 7851110.9
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23754222
Relations: 3912798 relations
Pruned matrix : 2397953 x 2398178
Polynomial selection time: 0.00 hours.
Total sieving time: 175.95 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.57 hours.
time per square root: 0.73 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 181.39 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:12:36 UTC 2012 年 11 月 27 日 (火) 6 時 12 分 36 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:38:15 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 15 秒 (日本時間)
4511e62700 / 42081000Dmitry DomanovDecember 25, 2012 10:38:15 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:57 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 57 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:04 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 4 秒 (日本時間)

4×10218+7

c191

name 名前Dmitry Domanov
date 日付November 29, 2012 14:19:10 UTC 2012 年 11 月 29 日 (木) 23 時 19 分 10 秒 (日本時間)
composite number 合成数
57362221565173743892589215463760142295877653256876580215159593332843311584354554972614584340952981296534773625927378397833545593584180365297202503099536474631169342445458751084747776845098079<191>
prime factors 素因数
596523827644508110284715605362058416999<39>
composite cofactor 合成数の残り
96160821926728023672336380648355715094558804463914926808994858396459082265725451735037824958372702734401737402095634784703678196386742339114956442958921<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=401686332
Step 1 took 32034ms
Step 2 took 11264ms
********** Factor found in step 2: 596523827644508110284715605362058416999
Found probable prime factor of 39 digits: 596523827644508110284715605362058416999

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:12:51 UTC 2012 年 11 月 27 日 (火) 6 時 12 分 51 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:38:26 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 26 秒 (日本時間)
4511e62000 / 42081000Dmitry DomanovDecember 25, 2012 10:38:26 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 26 秒 (日本時間)
1000Dmitry DomanovAugust 5, 2014 11:05:03 UTC 2014 年 8 月 5 日 (火) 20 時 5 分 3 秒 (日本時間)

4×10219+7

c168

name 名前Dmitry Domanov
date 日付December 17, 2012 08:16:31 UTC 2012 年 12 月 17 日 (月) 17 時 16 分 31 秒 (日本時間)
composite number 合成数
254802821607730008780607661137773297849546750755448710083946964207709349499480264588423469298426960516855978638854264572172084912720144053992651221833777831352415992061<168>
prime factors 素因数
23405376451659015768423078038846795626181<41>
composite cofactor 合成数の残り
10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481<128>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3712335133
Step 1 took 103596ms
Step 2 took 35479ms
********** Factor found in step 2: 23405376451659015768423078038846795626181
Found probable prime factor of 41 digits: 23405376451659015768423078038846795626181
Composite cofactor 10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481 has 128 digits

c128

name 名前Warut Roonguthai
date 日付December 19, 2012 11:52:40 UTC 2012 年 12 月 19 日 (水) 20 時 52 分 40 秒 (日本時間)
composite number 合成数
10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481<128>
prime factors 素因数
518054582825344690889517638759031347080138026607<48>
21014210694657699013634719687401676955903481563100005358698206274329744257027383<80>
factorization results 素因数分解の結果
N = 10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481 (128 digits)
Divisors found:
r1=518054582825344690889517638759031347080138026607 (pp48)
r2=21014210694657699013634719687401676955903481563100005358698206274329744257027383 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.39 hours.
Factorization parameters were as follows:
n: 10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481
Y0: -4038032530061180817525027
Y1: 60075736213871
c0: -1183871615047316052514218890240
c1: 1463414356558822024663104
c2: 254207227026837970504
c3: -946634034213390
c4: 2481057817
c5: 10140
skew: 206042.12 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19110532
Relations: 1987096 relations
Pruned matrix : 1127392 x 1127627
Polynomial selection time: 0.00 hours.
Total sieving time: 17.10 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.99 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 18.39 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:12:58 UTC 2012 年 11 月 27 日 (火) 6 時 12 分 58 秒 (日本時間)

4×10220+7

c203

composite cofactor 合成数の残り
44793437701358422519647963522532153201452550644498668337619957627497516810441391612115633505026860008392483679775684280882945616686853312054685540760061961132098009601808770308785736868598909119070815721<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:13:07 UTC 2012 年 11 月 27 日 (火) 6 時 13 分 7 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:38:36 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 36 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:38:36 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 36 秒 (日本時間)

4×10221+7

c197

composite cofactor 合成数の残り
37289990595938037612506892434102325113605317100391961835716763297807120069490719110785128981424558414927736432837425843952344247048834973319168678182318218014798712924090302852301842057060544388969<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:13:14 UTC 2012 年 11 月 27 日 (火) 6 時 13 分 14 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:38:46 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 46 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:38:46 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 46 秒 (日本時間)

4×10222+7

c216

name 名前Warut Roonguthai
date 日付November 25, 2012 23:54:31 UTC 2012 年 11 月 26 日 (月) 8 時 54 分 31 秒 (日本時間)
composite number 合成数
211405305670667212585634343552965300303086501607393816003709317493297526912027540191980329159117955757203331895601083684737398407198435220208486855425883651715889661440216614332402392452703744373778110365302554553007<216>
prime factors 素因数
200730376304051360382250382582927<33>
1053180438173673662779141731732941226160007736863208127816335937053169951738536383513019226352331373617260792148309071277276805201135878746654670130182603942243044545297919873073539041<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=797832978
Step 1 took 13791ms
Step 2 took 4180ms
********** Factor found in step 2: 200730376304051360382250382582927
Found probable prime factor of 33 digits: 200730376304051360382250382582927
Probable prime cofactor 1053180438173673662779141731732941226160007736863208127816335937053169951738536383513019226352331373617260792148309071277276805201135878746654670130182603942243044545297919873073539041 has 184 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)

4×10223+7

c191

composite cofactor 合成数の残り
32392389922888994288521317032204250341689830193003171667224059632003848231092884539177524756446372481046847681828737599452045836381912758143602907866942325588900655139901210866600462985580007<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:13:28 UTC 2012 年 11 月 27 日 (火) 6 時 13 分 28 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:38:56 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 56 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:38:56 UTC 2012 年 12 月 25 日 (火) 19 時 38 分 56 秒 (日本時間)

4×10224+7

c188

composite cofactor 合成数の残り
62175051694091315062710242693576695207726759752820442141530397967845770220761600483985824120566884397180107069075558879059853851866799675754846048648479683799877296779220030684364534084291<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:13:36 UTC 2012 年 11 月 27 日 (火) 6 時 13 分 36 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:39:05 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 5 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:39:05 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 5 秒 (日本時間)

4×10226+7

c175

composite cofactor 合成数の残り
2642911961553744812246720006789359332429864078762296274447071330071210905137677766780900323476425160749394427356942500979693879748833505321943163859593523973517601563803466613<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:13:43 UTC 2012 年 11 月 27 日 (火) 6 時 13 分 43 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:39:21 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 21 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:39:21 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 21 秒 (日本時間)

4×10227+7

c188

composite cofactor 合成数の残り
38528222256794578406983213483628219800916006290343134890635979435910551992153756876145075016611089313954977258192901869071050901425783649122948347080124711414486263316165448492734744961211<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:13:51 UTC 2012 年 11 月 27 日 (火) 6 時 13 分 51 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:39:31 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 31 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:39:31 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 31 秒 (日本時間)

4×10229+7

c191

name 名前Dmitry Domanov
date 日付December 19, 2012 09:38:42 UTC 2012 年 12 月 19 日 (水) 18 時 38 分 42 秒 (日本時間)
composite number 合成数
13088685022418831420256773404008590648845602423473032935930572305458375236295173090054587532682480209248165508132610473157702050495602033470241396502649057743027647027756390256369989826537449<191>
prime factors 素因数
193406403693914145060428953627298958515928281473<48>
composite cofactor 合成数の残り
67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113<143>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=486705012
Step 1 took 84180ms
Step 2 took 30112ms
********** Factor found in step 2: 193406403693914145060428953627298958515928281473
Found probable prime factor of 48 digits: 193406403693914145060428953627298958515928281473

c143

name 名前Youcef Lemsafer
date 日付October 23, 2017 15:51:56 UTC 2017 年 10 月 24 日 (火) 0 時 51 分 56 秒 (日本時間)
composite number 合成数
67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113<143>
prime factors 素因数
1496175740538277970655032961452537656569472796770651129<55>
45231663311041421600515439556707130330131140673611638849814713579313719888706200089984497<89>
factorization results 素因数分解の結果
<Parameters were as follows:>
# Selected after ~22h of GPU search using msieve 1.54 (1017M) on a Tesla K80.
# size 6.934e-14, alpha -8.440, combined = 1.331e-11 rroots = 1
n: 67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113
skew: 1459670.57
Y0: -2855293253032134164025072838
Y1: 47950364764981
c0: -125154241545601182182117197549321575
c1: 1955081050693717042101440184800
c2: 2880887812511553246558567
c3: -469561672341787392
c4: -1181739845092
c5: 356592
type: gnfs
rlim: 25165824
alim: 25165824
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

<Sieving took 583 thread.hour on Intel Xeon E5-2680 v2 using gnfs-lasieve4I14e.>
<Linear algebra using 4 threads on Intel Xeon E5-1650 v3 @ 3.5GHz:>

Mon Oct 23 15:11:48 2017  
Mon Oct 23 15:11:48 2017  Msieve v. 1.54 (SVN 1008M)
Mon Oct 23 15:11:48 2017  random seeds: 27472ee0 9078cf0b
Mon Oct 23 15:11:48 2017  factoring 67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113 (143 digits)
Mon Oct 23 15:11:48 2017  no P-1/P+1/ECM available, skipping
Mon Oct 23 15:11:48 2017  commencing number field sieve (143-digit input)
Mon Oct 23 15:11:48 2017  R0: -2855293253032134164025072838
Mon Oct 23 15:11:48 2017  R1: 47950364764981
Mon Oct 23 15:11:48 2017  A0: -125154241545601182182117197549321575
Mon Oct 23 15:11:48 2017  A1: 1955081050693717042101440184800
Mon Oct 23 15:11:48 2017  A2: 2880887812511553246558567
Mon Oct 23 15:11:48 2017  A3: -469561672341787392
Mon Oct 23 15:11:48 2017  A4: -1181739845092
Mon Oct 23 15:11:48 2017  A5: 356592
Mon Oct 23 15:11:48 2017  skew 1459670.57, size 6.934e-014, alpha -8.440, combined = 1.331e-011 rroots = 1
Mon Oct 23 15:11:48 2017  
Mon Oct 23 15:11:48 2017  commencing relation filtering
Mon Oct 23 15:11:48 2017  setting target matrix density to 124.0
Mon Oct 23 15:11:48 2017  estimated available RAM is 16308.3 MB
Mon Oct 23 15:11:48 2017  commencing duplicate removal, pass 1
Mon Oct 23 15:16:55 2017  found 3562604 hash collisions in 28046181 relations
Mon Oct 23 15:17:27 2017  commencing duplicate removal, pass 2
Mon Oct 23 15:18:00 2017  found 2770629 duplicates and 25275552 unique relations
Mon Oct 23 15:18:00 2017  memory use: 106.6 MB
Mon Oct 23 15:18:00 2017  reading ideals above 720000
Mon Oct 23 15:18:00 2017  commencing singleton removal, initial pass
Mon Oct 23 15:22:26 2017  memory use: 689.0 MB
Mon Oct 23 15:22:26 2017  reading all ideals from disk
Mon Oct 23 15:22:26 2017  memory use: 848.1 MB
Mon Oct 23 15:22:28 2017  keeping 24095125 ideals with weight <= 200, target excess is 141430
Mon Oct 23 15:22:30 2017  commencing in-memory singleton removal
Mon Oct 23 15:22:32 2017  begin with 25275552 relations and 24095125 unique ideals
Mon Oct 23 15:22:54 2017  reduce to 15418164 relations and 13119421 ideals in 14 passes
Mon Oct 23 15:22:54 2017  max relations containing the same ideal: 151
Mon Oct 23 15:23:00 2017  removing 2079112 relations and 1679112 ideals in 400000 cliques
Mon Oct 23 15:23:01 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:02 2017  begin with 13339052 relations and 13119421 unique ideals
Mon Oct 23 15:23:11 2017  reduce to 13120808 relations and 11214939 ideals in 8 passes
Mon Oct 23 15:23:11 2017  max relations containing the same ideal: 134
Mon Oct 23 15:23:16 2017  removing 1612646 relations and 1212646 ideals in 400000 cliques
Mon Oct 23 15:23:17 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:17 2017  begin with 11508162 relations and 11214939 unique ideals
Mon Oct 23 15:23:26 2017  reduce to 11352279 relations and 9841802 ideals in 8 passes
Mon Oct 23 15:23:26 2017  max relations containing the same ideal: 121
Mon Oct 23 15:23:30 2017  removing 1483344 relations and 1083344 ideals in 400000 cliques
Mon Oct 23 15:23:31 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:31 2017  begin with 9868935 relations and 9841802 unique ideals
Mon Oct 23 15:23:38 2017  reduce to 9719252 relations and 8603991 ideals in 8 passes
Mon Oct 23 15:23:38 2017  max relations containing the same ideal: 110
Mon Oct 23 15:23:42 2017  removing 1426484 relations and 1026484 ideals in 400000 cliques
Mon Oct 23 15:23:42 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:43 2017  begin with 8292768 relations and 8603991 unique ideals
Mon Oct 23 15:23:48 2017  reduce to 8136372 relations and 7415447 ideals in 8 passes
Mon Oct 23 15:23:48 2017  max relations containing the same ideal: 92
Mon Oct 23 15:23:52 2017  removing 1399851 relations and 999851 ideals in 400000 cliques
Mon Oct 23 15:23:52 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:52 2017  begin with 6736521 relations and 7415447 unique ideals
Mon Oct 23 15:23:56 2017  reduce to 6559735 relations and 6231180 ideals in 8 passes
Mon Oct 23 15:23:56 2017  max relations containing the same ideal: 81
Mon Oct 23 15:23:59 2017  removing 698440 relations and 533944 ideals in 164496 cliques
Mon Oct 23 15:23:59 2017  commencing in-memory singleton removal
Mon Oct 23 15:24:00 2017  begin with 5861295 relations and 6231180 unique ideals
Mon Oct 23 15:24:03 2017  reduce to 5811413 relations and 5646264 ideals in 7 passes
Mon Oct 23 15:24:03 2017  max relations containing the same ideal: 76
Mon Oct 23 15:24:06 2017  relations with 0 large ideals: 503
Mon Oct 23 15:24:06 2017  relations with 1 large ideals: 1170
Mon Oct 23 15:24:06 2017  relations with 2 large ideals: 18477
Mon Oct 23 15:24:06 2017  relations with 3 large ideals: 134658
Mon Oct 23 15:24:06 2017  relations with 4 large ideals: 519970
Mon Oct 23 15:24:06 2017  relations with 5 large ideals: 1173303
Mon Oct 23 15:24:06 2017  relations with 6 large ideals: 1622988
Mon Oct 23 15:24:06 2017  relations with 7+ large ideals: 2340344
Mon Oct 23 15:24:06 2017  commencing 2-way merge
Mon Oct 23 15:24:09 2017  reduce to 3711679 relation sets and 3546530 unique ideals
Mon Oct 23 15:24:09 2017  commencing full merge
Mon Oct 23 15:25:41 2017  memory use: 487.1 MB
Mon Oct 23 15:25:42 2017  found 1640636 cycles, need 1636730
Mon Oct 23 15:25:42 2017  weight of 1636730 cycles is about 203140113 (124.11/cycle)
Mon Oct 23 15:25:42 2017  distribution of cycle lengths:
Mon Oct 23 15:25:42 2017  1 relations: 59563
Mon Oct 23 15:25:42 2017  2 relations: 96876
Mon Oct 23 15:25:42 2017  3 relations: 111421
Mon Oct 23 15:25:42 2017  4 relations: 113579
Mon Oct 23 15:25:42 2017  5 relations: 115230
Mon Oct 23 15:25:42 2017  6 relations: 113993
Mon Oct 23 15:25:42 2017  7 relations: 111496
Mon Oct 23 15:25:42 2017  8 relations: 107208
Mon Oct 23 15:25:42 2017  9 relations: 101862
Mon Oct 23 15:25:42 2017  10+ relations: 705502
Mon Oct 23 15:25:42 2017  heaviest cycle: 28 relations
Mon Oct 23 15:25:43 2017  commencing cycle optimization
Mon Oct 23 15:25:46 2017  start with 15329277 relations
Mon Oct 23 15:26:27 2017  pruned 757059 relations
Mon Oct 23 15:26:27 2017  memory use: 396.9 MB
Mon Oct 23 15:26:27 2017  distribution of cycle lengths:
Mon Oct 23 15:26:27 2017  1 relations: 59563
Mon Oct 23 15:26:27 2017  2 relations: 99479
Mon Oct 23 15:26:27 2017  3 relations: 116535
Mon Oct 23 15:26:27 2017  4 relations: 118588
Mon Oct 23 15:26:27 2017  5 relations: 121414
Mon Oct 23 15:26:27 2017  6 relations: 119622
Mon Oct 23 15:26:27 2017  7 relations: 117526
Mon Oct 23 15:26:27 2017  8 relations: 112504
Mon Oct 23 15:26:27 2017  9 relations: 107427
Mon Oct 23 15:26:27 2017  10+ relations: 664072
Mon Oct 23 15:26:27 2017  heaviest cycle: 28 relations
Mon Oct 23 15:26:29 2017  RelProcTime: 881
Mon Oct 23 15:26:29 2017  elapsed time 00:14:41

Mon Oct 23 15:27:25 2017  
Mon Oct 23 15:27:25 2017  commencing linear algebra
Mon Oct 23 15:27:26 2017  read 1636730 cycles
Mon Oct 23 15:27:29 2017  cycles contain 5709300 unique relations
Mon Oct 23 15:28:36 2017  read 5709300 relations
Mon Oct 23 15:28:48 2017  using 20 quadratic characters above 4294917295
Mon Oct 23 15:29:16 2017  building initial matrix
Mon Oct 23 15:30:42 2017  memory use: 781.7 MB
Mon Oct 23 15:30:44 2017  read 1636730 cycles
Mon Oct 23 15:30:44 2017  matrix is 1636553 x 1636730 (788.8 MB) with weight 243764450 (148.93/col)
Mon Oct 23 15:30:44 2017  sparse part has weight 187143712 (114.34/col)
Mon Oct 23 15:31:02 2017  filtering completed in 2 passes
Mon Oct 23 15:31:03 2017  matrix is 1636539 x 1636716 (788.8 MB) with weight 243763505 (148.93/col)
Mon Oct 23 15:31:03 2017  sparse part has weight 187143339 (114.34/col)
Mon Oct 23 15:31:07 2017  matrix starts at (0, 0)
Mon Oct 23 15:31:07 2017  matrix is 1636539 x 1636716 (788.8 MB) with weight 243763505 (148.93/col)
Mon Oct 23 15:31:08 2017  sparse part has weight 187143339 (114.34/col)
Mon Oct 23 15:31:08 2017  saving the first 48 matrix rows for later
Mon Oct 23 15:31:08 2017  matrix includes 64 packed rows
Mon Oct 23 15:31:09 2017  matrix is 1636491 x 1636716 (770.8 MB) with weight 209748245 (128.15/col)
Mon Oct 23 15:31:09 2017  sparse part has weight 185699735 (113.46/col)
Mon Oct 23 15:31:09 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Mon Oct 23 15:31:19 2017  commencing Lanczos iteration (4 threads)
Mon Oct 23 15:31:19 2017  memory use: 622.6 MB
Mon Oct 23 15:31:26 2017  linear algebra at 0.1%, ETA 1h47m
Mon Oct 23 15:31:29 2017  checkpointing every 810000 dimensions
Mon Oct 23 17:32:47 2017  lanczos halted after 25878 iterations (dim = 1636487)
Mon Oct 23 17:32:49 2017  recovered 27 nontrivial dependencies
Mon Oct 23 17:32:50 2017  BLanczosTime: 7525
Mon Oct 23 17:32:50 2017  elapsed time 02:05:25

Mon Oct 23 17:32:59 2017  commencing square root phase
Mon Oct 23 17:32:59 2017  reading relations for dependency 1
Mon Oct 23 17:33:00 2017  read 818715 cycles
Mon Oct 23 17:33:02 2017  cycles contain 2856520 unique relations
Mon Oct 23 17:33:46 2017  read 2856520 relations
Mon Oct 23 17:33:59 2017  multiplying 2856520 relations
Mon Oct 23 17:37:37 2017  multiply complete, coefficients have about 150.01 million bits
Mon Oct 23 17:37:38 2017  initial square root is modulo 241931
Mon Oct 23 17:42:05 2017  sqrtTime: 546
Mon Oct 23 17:42:05 2017  p55 factor: 1496175740538277970655032961452537656569472796770651129
Mon Oct 23 17:42:05 2017  p89 factor: 45231663311041421600515439556707130330131140673611638849814713579313719888706200089984497
Mon Oct 23 17:42:05 2017  elapsed time 00:09:06

<Full log at https://pastebin.com/rdU23Bda>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:14:11 UTC 2012 年 11 月 27 日 (火) 6 時 14 分 11 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:39:41 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 41 秒 (日本時間)
4511e643221000Dmitry DomanovDecember 25, 2012 10:39:41 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 41 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:46 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 46 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:57 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 57 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:44 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 44 秒 (日本時間)
272Ignacio SantosDecember 20, 2015 19:43:40 UTC 2015 年 12 月 21 日 (月) 4 時 43 分 40 秒 (日本時間)

4×10230+7

c216

composite cofactor 合成数の残り
189536434372746236266757835516915931348785446510290342236024334488892052864103206155788591157502074431152037214392737989075598445353808209304095528240277496782084535150656041473094033961521433453623248236426999937297<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:14:20 UTC 2012 年 11 月 27 日 (火) 6 時 14 分 20 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:39:51 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 51 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:39:51 UTC 2012 年 12 月 25 日 (火) 19 時 39 分 51 秒 (日本時間)

4×10232+7

c188

composite cofactor 合成数の残り
22944720480471415059588400733755310548037605198859497034138806875491483709522315819566336354703009859654692274624543216901503574819965242225074393051782705515872201023735739270740999660943<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:14:26 UTC 2012 年 11 月 27 日 (火) 6 時 14 分 26 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:40:55 UTC 2012 年 12 月 25 日 (火) 19 時 40 分 55 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:40:55 UTC 2012 年 12 月 25 日 (火) 19 時 40 分 55 秒 (日本時間)

4×10235+7

c223

composite cofactor 合成数の残り
7347924981067913209449913279201934388970601415702493729272943721817850935738901631414308028702876044111629883786189125417240090602552164799300203364562678086016752653913837548039059827350961697031298907940999917227694815039<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:14:42 UTC 2012 年 11 月 27 日 (火) 6 時 14 分 42 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:41:05 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 5 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:41:05 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 5 秒 (日本時間)

4×10236+7

c228

composite cofactor 合成数の残り
178753456487996957662646472978659790749317986184812992202697810890924088055960067303661550454204109179363272564154835623735408951377941285510853874797585339499872952544893900432314653567487056116998091297851523282905614304515121<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:14:49 UTC 2012 年 11 月 27 日 (火) 6 時 14 分 49 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:41:14 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 14 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:41:14 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 14 秒 (日本時間)

4×10238+7

c217

composite cofactor 合成数の残り
7636762072653719033538539792050253666098867483610920936436178169426928732945519391388810965707267774144071941255346639486163958301976825661618320459975949170553951087472725981686023816710953937244544946684599230002751<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:14:57 UTC 2012 年 11 月 27 日 (火) 6 時 14 分 57 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:41:24 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 24 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:41:24 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 24 秒 (日本時間)

4×10239+7

c226

composite cofactor 合成数の残り
2237896529187824940579914442881017358440977765734237482644589160483220338012054509147945349035695153330118181515943639856695790395467832834956399292820416613789835138958706895093606027828566907402834199182556451032048709187039<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:15:26 UTC 2012 年 11 月 27 日 (火) 6 時 15 分 26 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:41:35 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 35 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:41:35 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 35 秒 (日本時間)

4×10240+7

c219

name 名前Dmitry Domanov
date 日付December 20, 2012 08:19:22 UTC 2012 年 12 月 20 日 (木) 17 時 19 分 22 秒 (日本時間)
composite number 合成数
208460313756375502347072997751688870728256448033874915117991470762312206652523129356679345802088859828084281666569669356503487992568580360774901241096867601371599462150369453347810139435089604550797586486953883565095127<219>
prime factors 素因数
502576024103937856223379279326851451425673<42>
composite cofactor 合成数の残り
414783642192337809933161863467664125085603659260321223706012799052536153998637821981979580883510460744351430567640823992146035371828718832010806169526557794374249574307634229599<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=567881304
Step 1 took 112975ms
Step 2 took 36321ms
********** Factor found in step 2: 502576024103937856223379279326851451425673
Found probable prime factor of 42 digits: 502576024103937856223379279326851451425673

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:15:36 UTC 2012 年 11 月 27 日 (火) 6 時 15 分 36 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:41:45 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 45 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:41:45 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 45 秒 (日本時間)

4×10243+7

c214

composite cofactor 合成数の残り
7131377349111513036272294747729796281722196155409508986702808118178371671560693232036628555669357254027552741436477288096881218360124629091576077089225541690306643671622633948481019045983462579682337003944526994079<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:15:42 UTC 2012 年 11 月 27 日 (火) 6 時 15 分 42 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:41:54 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 54 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:41:54 UTC 2012 年 12 月 25 日 (火) 19 時 41 分 54 秒 (日本時間)

4×10244+7

c208

composite cofactor 合成数の残り
4400736462041805903971874040794948381880377450504713494837296695790166426883739786147441935842549414070398170346232888400898775868210047949186148189483904626408260447075880844127479300630489810566572766434997<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:16:29 UTC 2012 年 11 月 27 日 (火) 6 時 16 分 29 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:42:04 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 4 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:42:04 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 4 秒 (日本時間)

4×10245+7

c197

composite cofactor 合成数の残り
91671545745013031069058510251961984569736731529435544856331762952547837029715144697915297259910540365984095042665831545393165380114641703984631038218178868189494077534779211851619849084649437220601<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:16:37 UTC 2012 年 11 月 27 日 (火) 6 時 16 分 37 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:42:14 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 14 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:42:14 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 14 秒 (日本時間)

4×10246+7

c209

composite cofactor 合成数の残り
19940140917859202378216503263466281731056729638143549770270827074044910027394794992510250545493858288217246805799013606070095836608824558756516719350861964691783693831301198582576244470207642031100992930044753<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:16:44 UTC 2012 年 11 月 27 日 (火) 6 時 16 分 44 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:42:23 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 23 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:42:23 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 23 秒 (日本時間)

4×10247+7

c199

composite cofactor 合成数の残り
1483711545874357530448953158221473318906865727187679690462429995292749056460529324394539073425597610802380539538931015644432609392634901196913604976423605568360487315755015157718491696122708656565571<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:16:56 UTC 2012 年 11 月 27 日 (火) 6 時 16 分 56 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:42:33 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 33 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:42:33 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 33 秒 (日本時間)

4×10249+7

c218

name 名前Warut Roonguthai
date 日付November 25, 2012 16:33:42 UTC 2012 年 11 月 26 日 (月) 1 時 33 分 42 秒 (日本時間)
composite number 合成数
92981484614874328963065586405147467989166013395326225654600380394971279348200947753785197596581358731032950305321810070097335780624638028715854975198366989055580241919563892308776300460068336885600903813331471535434441<218>
prime factors 素因数
32444432929019326518846307<26>
composite cofactor 合成数の残り
2865868693661424718000393245766717191381177359245100300129197164253460141503310718422644625380098230592712156416402782574869052962255833110836346925316839371075983373074400306129994530091675363<193>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3125937694
Step 1 took 11497ms
Step 2 took 6412ms
********** Factor found in step 2: 32444432929019326518846307
Found probable prime factor of 26 digits: 32444432929019326518846307
Composite cofactor 2865868693661424718000393245766717191381177359245100300129197164253460141503310718422644625380098230592712156416402782574869052962255833110836346925316839371075983373074400306129994530091675363 has 193 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:17:05 UTC 2012 年 11 月 27 日 (火) 6 時 17 分 5 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:42:43 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 43 秒 (日本時間)
4511e61000 / 4208Dmitry DomanovDecember 25, 2012 10:42:43 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 43 秒 (日本時間)

4×10250+7

c180

name 名前Dmitry Domanov
date 日付December 28, 2012 10:37:34 UTC 2012 年 12 月 28 日 (金) 19 時 37 分 34 秒 (日本時間)
composite number 合成数
824637931598962788753094374172167528238166123298039827851388896323740159311491251876361414679892780635047149862729786289090432902027060492568309858480730492563324541766805111900313<180>
prime factors 素因数
31937514022329499199026746195384994575133471<44>
25820354427786934363120414560875629111674006291862742174205611484619556134046638114384717630497229001103114841697425538342347749852056903<137>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=925369814
Step 1 took 329658ms
Step 2 took 89783ms
********** Factor found in step 2: 31937514022329499199026746195384994575133471
Found probable prime factor of 44 digits: 31937514022329499199026746195384994575133471

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 25, 2012 13:00:00 UTC 2012 年 11 月 25 日 (日) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 26, 2012 21:17:15 UTC 2012 年 11 月 27 日 (火) 6 時 17 分 15 秒 (日本時間)
403e61000Dmitry DomanovDecember 25, 2012 10:42:55 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 55 秒 (日本時間)
4511e61000Dmitry DomanovDecember 25, 2012 10:42:55 UTC 2012 年 12 月 25 日 (火) 19 時 42 分 55 秒 (日本時間)
5043e6915 / 7285Dmitry DomanovDecember 25, 2012 10:43:16 UTC 2012 年 12 月 25 日 (火) 19 時 43 分 16 秒 (日本時間)